Properties of Matter

267 questions · Physics · JEE Main

Properties of Matter

267 questions · Physics · JEE Main

A steel wire of length 2 m and Young's modulus $2.0 \times 1 0^{11} N m^{- 2}$ is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and $1 0^{- 3}$ respectively, then the elastic potential…2025 · 2 Apr · Shift 1 · Q71 · Numerical
A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of $100 cm^{2}$ with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with…2025 · 2 Apr · Shift 1 · Q73 · Numerical
Two water drops each of radius ' $r$ ' coalesce to form a bigger drop. If ' $T$ ' is the surface tension, the surface energy released in this process is :2025 · 2 Apr · Shift 2 · Q63 · MCQ
The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is m.2025 · 2 Apr · Shift 2 · Q72 · Numerical
Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area $0.5 m^{2}$ . It has a small hole in its side at a height 90 cm from the bottom. Assume, the crosssectional area of the hole to be…2025 · 3 Apr · Shift 1 · Q57 · MCQ
Two cylindrical vessels of equal cross sectional area of $2 m^{2}$ contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water…2025 · 3 Apr · Shift 2 · Q51 · MCQ
A solid steel ball of diameter 3.6 mm acquired terminal velocity $2.45 \times 1 0^{- 2} m / s$ while falling under gravity through an oil of density $925 kg m^{- 3}$ . Take density of steel as $7825 kg m^{- 3}$ …2025 · 3 Apr · Shift 2 · Q66 · MCQ
The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $n$ times the volume of the bubble $B$ , then, the value of $n$ is…2025 · 3 Apr · Shift 2 · Q74 · Numerical
Two liquids $A$ and $B$ have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = cos θ_{A} / cos θ_{B}$ , then identify the correct statement:2025 · 4 Apr · Shift 1 · Q57 · MCQ
Two slabs with square cross section of different materials $(1, 2)$ with equal sides $(l)$ and thickness $d_{1}$ and $d_{2}$ such that $d_{2} = 2 d_{1}$ and $l > d_{2}$ . Considering lower edges of these slabs are fixed to the floor, we apply equal…2025 · 4 Apr · Shift 1 · Q73 · Numerical
A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of $1 0^{5} N$ at the top. Considering infinitesimally small displacement in the upper edge, the angular displacement $θ$ …2025 · 4 Apr · Shift 2 · Q60 · MCQ
Two wires A and B are made of same material having ratio of lengths $\frac{L _{A}}{L _{B}} = \frac{1}{3}$ and their diameters ratio $\frac{d _{A}}{d _{B}} = 2$ . If both the wires are stretched using same force, what would be the ratio of their respective…2025 · 7 Apr · Shift 1 · Q59 · MCQ
A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn/cm and glass water contact angle ≈ 0°) with 30° inclined with the vertical. The length of water risen in the capillary is cm.…2025 · 7 Apr · Shift 2 · Q64 · MCQ
A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $P \times 1 0^{11} Nm^{- 2}$ …2025 · 8 Apr · Shift 2 · Q59 · MCQ
A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 cm3. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was litre. (Take 1 atm =…2025 · 8 Apr · Shift 2 · Q71 · Numerical
A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of a uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance between wedge point and 200 gm weight as 25…2025 · 8 Apr · Shift 2 · Q75 · Numerical
Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is .2025 · 22 Jan · Shift 1 · Q71 · Numerical
A tube of length $L$ is shown in the figure. The radius of cross section at the point $(1)$ is 2 cm and at the point (2) is 1 cm , respectively. If the velocity of water entering at point (1) is $2 m / s$ , then velocity… Includes diagram2025 · 22 Jan · Shift 2 · Q61 · MCQ
A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous…2025 · 22 Jan · Shift 2 · Q70 · MCQ
Given below are two statements: Statement I: The hot water flows faster than cold water Statement II: Soap water has higher surface tension as compared to fresh water. In the light above statements, choose the correct answer from the…2025 · 23 Jan · Shift 1 · Q51 · MCQ
A massless spring gets elongated by amount $x_{1}$ under a tension of 5 N . Its elongation is $x_{2}$ under the tension of 7 N . For the elongation of $(5 x_{1} - 2 x_{2})$ , the tension in the spring will be,2025 · 23 Jan · Shift 2 · Q54 · MCQ
Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_{1}$ . The reading of the pressure gauge falls to $P_{2}$ when the valve is opened. The speed of water flowing…2025 · 23 Jan · Shift 2 · Q65 · MCQ
An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a liquid having surface tension $0.095 J / m^{2}$ and density $1 0^{3} kg / m^{3}$ . The difference between pressure inside…2025 · 23 Jan · Shift 2 · Q73 · Numerical
An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density $1000 kg / m^{3}$ . If the pressure inside the bubble is $2100 N / m^{2}$ greater than the atmospheric…2025 · 24 Jan · Shift 1 · Q58 · MCQ
The amount of work done to break a big water drop of radius ' $R$ ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drops of equal radius will be2025 · 24 Jan · Shift 1 · Q67 · MCQ
The increase in pressure required to decrease the volume of a water sample by $0.2%$ is $P \times 1 0^{5} Nm^{- 2}$ . Bulk modulus of water is $2.15 \times 1 0^{9} Nm^{- 2}$ . The value of P is …2025 · 24 Jan · Shift 2 · Q72 · Numerical
In the experiment for measurement of viscosity ' $η$ ' of given liquid with a ball having radius $R$ , consider following statements. A. Graph between terminal velocity V and R will be a parabola. B. The terminal velocities of different…2025 · 28 Jan · Shift 1 · Q53 · MCQ
Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the temperature of liquid rises, the coefficient of viscosity…2025 · 28 Jan · Shift 1 · Q55 · MCQ
In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of $[M^{a} L^{b} T^{c}]$ . If $b = 3$ , the value of $c$ is .2025 · 28 Jan · Shift 1 · Q72 · Numerical
A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water = 1000 kg m-3)2025 · 28 Jan · Shift 2 · Q68 · MCQ
The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of $7 \times 1 0^{6} Pa$ , would be $mm^{3}$ . (Given bulk modulus of copper $= 1.4 \times 1 0^{11} N m^{- 2}$ …2025 · 28 Jan · Shift 2 · Q72 · Numerical
The fractional compression $(\frac{Δ V}{V})$ of water at the depth of 2.5 km below the sea level is %. Given, the Bulk modulus of water = $2 \times 1 0^{9}$ N m $^{- 2}$ , density of water = $1 0^{3}$ kg…2025 · 29 Jan · Shift 1 · Q56 · MCQ
With rise in temperature, the Young's modulus of elasticity :2024 · 1 Feb · Shift 1 · Q79 · MCQ
A plane is in level flight at constant speed and each of its two wings has an area of $40 m^{2}$ . If the speed of the air is $180 km / h$ over the lower wing surface and $252 km / h$ over the…2024 · 1 Feb · Shift 1 · Q82 · Numerical
A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :2024 · 1 Feb · Shift 2 · Q67 · MCQ
One end of a metal wire is fixed to a ceiling and a load of $2 kg$ hangs from the other end. A similar wire is attached to the bottom of the load and another load of $1 kg$ hangs from this lower wire. Then the ratio of…2024 · 1 Feb · Shift 2 · Q86 · Numerical
Given below are two statements : Statement I : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $P_{1} - P_{2} = ρ g (h_{2} - h_{1})$ . Statement II :… Includes diagram2024 · 4 Apr · Shift 1 · Q65 · MCQ
A soap bubble is blown to a diameter of $7 cm$ . $36960 erg$ of work is done in blowing it further. If surface tension of soap solution is 40 dyne/ $cm$ then the new radius is cm Take $(π = \frac{22}{7})$ …2024 · 4 Apr · Shift 1 · Q84 · Numerical
An elastic spring under tension of $3 N$ has a length $a$ . Its length is $b$ under tension $2 N$ . For its length $(3 a - 2 b)$ , the value of tension will be N.2024 · 4 Apr · Shift 1 · Q85 · Numerical
Given below are two statements : Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II : The rise of a liquid in a capillary tube does not depend on the…2024 · 4 Apr · Shift 2 · Q77 · MCQ
Mercury is filled in a tube of radius $2 cm$ up to a height of $30 cm$ . The force exerted by mercury on the bottom of the tube is N. (Given, atmospheric pressure $= 1 0^{5} Nm^{- 2}$ ,…2024 · 4 Apr · Shift 2 · Q86 · Numerical
Given below are two statements : Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be $0^{\circ}$ . Statement II : The contact angle between a solid and a…2024 · 5 Apr · Shift 1 · Q74 · MCQ
The density and breaking stress of a wire are $6 \times 1 0^{4} kg / m^{3}$ and $1.2 \times 1 0^{8} N / m^{2}$ respectively. The wire is suspended from a rigid support on a planet where acceleration due to…2024 · 5 Apr · Shift 1 · Q86 · Numerical
Match List I with List II : Choose the correct answer from the options given below : Includes table2024 · 5 Apr · Shift 2 · Q71 · MCQ
A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $10 N$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the… Includes diagram2024 · 5 Apr · Shift 2 · Q89 · Numerical
A small ball of mass $m$ and density $ρ$ is dropped in a viscous liquid of density $ρ_{0}$ . After sometime, the ball falls with constant velocity. The viscous force on the ball is :2024 · 6 Apr · Shift 1 · Q77 · MCQ
A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is $\frac{10}{x}$ . The value of $x$ is .2024 · 6 Apr · Shift 1 · Q81 · Numerical
Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $R =$ Radius of bubble, $S =$ Surface tension of bubble)2024 · 6 Apr · Shift 2 · Q76 · MCQ
A wire of cross sectional area A, modulus of elasticity $2 \times 1 0^{11} Nm^{- 2}$ and length $2 m$ is stretched between two vertical rigid supports. When a mass of $2 kg$ is suspended at the middle it sags… Includes diagram2024 · 6 Apr · Shift 2 · Q89 · Numerical
Young's modulus is determined by the equation given by $Y = 49000 \frac{m}{l} \frac{dyne}{cm ^{2}}$ where $M$ is the mass and $l$ is the extension of wire used in the experiment. Now error in Young…2024 · 8 Apr · Shift 1 · Q70 · MCQ
Correct Bernoulli's equation is (symbols have their usual meaning) :2024 · 8 Apr · Shift 1 · Q77 · MCQ
A liquid column of height $0.04 cm$ balances excess pressure of a soap bubble of certain radius. If density of liquid is $8 \times 1 0^{3} kg m^{- 3}$ and surface tension of soap solution is $0.28 Nm^{- 1}$ …2024 · 8 Apr · Shift 1 · Q85 · Numerical
A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9): Includes diagram2024 · 8 Apr · Shift 2 · Q73 · MCQ
Small water droplets of radius $0.01 mm$ are formed in the upper atmosphere and falling with a terminal velocity of $10 cm / s$ . Due to condensation, if 8 such droplets are coalesced and formed a larger drop,…2024 · 8 Apr · Shift 2 · Q88 · Numerical
A sphere of relative density $σ$ and diameter $D$ has concentric cavity of diameter $d$ . The ratio of $\frac{D}{d}$ , if it just floats on water in a tank is :2024 · 9 Apr · Shift 1 · Q64 · MCQ
Two persons pull a wire towards themselves. Each person exerts a force of $200 N$ on the wire. Young's modulus of the material of wire is $1 \times 1 0^{11} N m^{- 2}$ . Original length of the wire is $2 m$ …2024 · 9 Apr · Shift 1 · Q85 · Numerical
The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:2024 · 9 Apr · Shift 2 · Q75 · MCQ
A spherical ball of radius $1 \times 1 0^{- 4} m$ and density $1 0^{5} kg / m^{3}$ falls freely under gravity through a distance $h$ before entering a tank of water, If after entering in water the velocity of the ball…2024 · 9 Apr · Shift 2 · Q76 · MCQ
Given below are two statements : Statement (I) :Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements,…2024 · 27 Jan · Shift 1 · Q62 · MCQ
If average depth of an ocean is $4000 m$ and the bulk modulus of water is $2 \times 1 0^{9} Nm^{- 2}$ , then fractional compression $\frac{Δ V}{V}$ of water at the bottom of ocean is $α \times 1 0^{- 2}$ . The value…2024 · 27 Jan · Shift 1 · Q90 · Numerical
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed,…2024 · 27 Jan · Shift 2 · Q67 · MCQ
The reading of pressure metre attached with a closed pipe is $4.5 \times 1 0^{4} N / m^{2}$ . On opening the valve, water starts flowing and the reading of pressure metre falls to $2.0 \times 1 0^{4} N / m^{2}$ .…2024 · 27 Jan · Shift 2 · Q89 · Numerical
Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water. Statement II : If a capillary tube is immersed first in…2024 · 29 Jan · Shift 1 · Q72 · MCQ
In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70 ms^{- 1}$ and $65 ms^{- 1}$ respectively. If the wing area is $2 m^{2}$ , the lift of…2024 · 29 Jan · Shift 1 · Q90 · Numerical
A small liquid drop of radius $R$ is divided into 27 identical liquid drops. If the surface tension is $T$ , then the work done in the process will be:2024 · 29 Jan · Shift 2 · Q61 · MCQ
A wire of length $L$ and radius $r$ is clamped at one end. If its other end is pulled by a force $F$ , its length increases by $l$ . If the radius of the wire and the applied force both are reduced to half of their original values keeping…2024 · 29 Jan · Shift 2 · Q69 · MCQ
Two metallic wires $P$ and $Q$ have same volume and are made up of same material. If their area of cross sections are in the ratio $4 : 1$ and force $F_{1}$ is applied to $P$ , an extension of $Δ l$ is produced. The force which is…2024 · 29 Jan · Shift 2 · Q87 · Numerical
Young's modules of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$ . If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be :2024 · 30 Jan · Shift 1 · Q79 · MCQ
Each of three blocks $P, Q$ and $R$ shown in figure has a mass of $3 kg$ . Each of the wires $A$ and $B$ has cross-sectional area $0.005 cm^{2}$ and Young's modulus $2 \times 1 0^{11} N m^{- 2}$ … Includes diagram2024 · 30 Jan · Shift 1 · Q89 · Numerical
A big drop is formed by coalescing 1000 small identical drops of water. If $E_{1}$ be the total surface energy of 1000 small drops of water and $E_{2}$ be the surface energy of single big drop of water, then $E_{1} : E_{2}$ is $x : 1$ where $x =$ …2024 · 30 Jan · Shift 2 · Q81 · Numerical
A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the ball?2024 · 31 Jan · Shift 1 · Q77 · MCQ
The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $0.02%$ is $m$ . (Take density of sea water $= 1 0^{3} kgm^{- 3}$ , Bulk modulus of rubber $= 9 \times 1 0^{8} Nm^{- 2}$ …2024 · 31 Jan · Shift 1 · Q84 · Numerical
A small spherical ball of radius $r$ , falling through a viscous medium of negligible density has terminal velocity ' $v$ '. Another ball of the same mass but of radius $2 r$ , falling through the same viscous medium will have terminal…2024 · 31 Jan · Shift 2 · Q72 · MCQ
Two blocks of mass $2 kg$ and $4 kg$ are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is $4.0 \times 1 0^{- 5} m$ and Young's modulus of the metal is $2.0 \times 1 0^{11} N / m^{2}$ … Includes diagram2024 · 31 Jan · Shift 2 · Q81 · Numerical
A mercury drop of radius $1 0^{- 3} m$ is broken into 125 equal size droplets. Surface tension of mercury is $0.45 Nm^{- 1}$ . The gain in surface energy is :2023 · 1 Feb · Shift 1 · Q62 · MCQ
A certain pressure ' $P$ ' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to $0.01%$ whereas the liquid gets compressed to $0.03%$ . The ratio of Bulk modulus of water to that of the…2023 · 1 Feb · Shift 1 · Q71 · Numerical
The Young's modulus of a steel wire of length $6 m$ and cross-sectional area $3 mm^{2}$ , is $2 \times 1 0^{11} N / m^{2}$ . The wire is suspended from its support on a given planet. A block of mass $4 kg$ …2023 · 1 Feb · Shift 2 · Q55 · MCQ
The surface of water in a water tank of cross section area $750 cm^{2}$ on the top of a house is $h m$ above the tap level. The speed of water coming out through the tap of cross section area $500 mm^{2}$ is $30 cm / s$ …2023 · 1 Feb · Shift 2 · Q70 · Numerical
A small ball of mass $M$ and density $ρ$ is dropped in a viscous liquid of density $ρ_{0}$ . After some time, the ball falls with a constant velocity. What is the viscous force on the ball ?2023 · 6 Apr · Shift 1 · Q48 · MCQ
A steel rod has a radius of $20 mm$ and a length of $2.0 m$ . A force of $62.8 kN$ stretches it along its length. Young's modulus of steel is $2.0 \times 1 0^{11} N / m^{2}$ . The longitudinal…2023 · 6 Apr · Shift 1 · Q64 · Numerical
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is…2023 · 6 Apr · Shift 2 · Q50 · MCQ
A metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14 mm$ . The tensile stress developed in the wire under equilibrium state is $7 \times 1 0^{5} Nm^{- 2}$ . The value of…2023 · 6 Apr · Shift 2 · Q71 · Numerical
An air bubble of volume $1 cm^{3}$ rises from the bottom of a lake $40 m$ deep to the surface at a temperature of $1 2^{\circ} C$ . The atmospheric pressure is $1 \times 1 0^{5} Pa$ the density of water…2023 · 8 Apr · Shift 1 · Q48 · MCQ
An aluminium rod with Young's modulus $Y = 7.0 \times 1 0^{10} N / m^{2}$ undergoes elastic strain of $0.04%$ . The energy per unit volume stored in the rod in SI unit is:2023 · 8 Apr · Shift 1 · Q61 · MCQ
An air bubble of diameter $6 mm$ rises steadily through a solution of density $1750 kg / m^{3}$ at the rate of $0.35 cm / s$ . The co-efficient of viscosity of the solution (neglect density of…2023 · 8 Apr · Shift 1 · Q73 · Numerical
A hydraulic automobile lift is designed to lift vehicles of mass $5000 kg$ . The area of cross section of the cylinder carrying the load is $250 cm^{2}$ . The maximum pressure the smaller piston would have to bear is $[$ …2023 · 8 Apr · Shift 2 · Q42 · MCQ
Given below are two statements: Statement I : Pressure in a reservoir of water is same at all points at the same level of water. Statement II : The pressure applied to enclosed water is transmitted in all directions equally. In the light…2023 · 10 Apr · Shift 1 · Q49 · MCQ
Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is $\times$ 10 $^{- 6}$ m. [Young's modulus for… Includes diagram2023 · 10 Apr · Shift 1 · Q74 · Numerical
Young's moduli of the material of wires A and B are in the ratio of $1 : 4$ , while its area of cross sections are in the ratio of $1 : 3$ . If the same amount of load is applied to both the wires, the amount of elongation produced in the…2023 · 10 Apr · Shift 2 · Q52 · MCQ
Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $2.0 cm^{2}$ . The area of cross section at the outlet is $10 mm^{2}$ . If the piston is pushed at a speed of $4 cm s^{- 1}$ … Includes diagram2023 · 10 Apr · Shift 2 · Q64 · Numerical
The length of a wire becomes $l_{1}$ and $l_{2}$ when $100 N$ and $120 N$ tensions are applied respectively. If $10 l_{2} = 11 l_{1}$ , the natural length of wire will be $\frac{1}{x} l_{1}$ . Here the value of $x$ is …2023 · 11 Apr · Shift 1 · Q73 · Numerical
Eight equal drops of water are falling through air with a steady speed of $10 cm / s$ . If the drops coalesce, the new velocity is:-2023 · 11 Apr · Shift 2 · Q52 · MCQ
The surface tension of soap solution is $3.5 \times 1 0^{- 2} Nm^{- 1}$ . The amount of work done required to increase the radius of soap bubble from $10 cm$ to $20 cm$ is $\times 1 0^{- 4} J$ …2023 · 11 Apr · Shift 2 · Q63 · Numerical
A wire of density $8 \times 1 0^{3} kg / m^{3}$ is stretched between two clamps $0.5 m$ apart. The extension developed in the wire is $3.2 \times 1 0^{- 4} m$ . If $Y = 8 \times 1 0^{10} N / m^{2}$ …2023 · 11 Apr · Shift 2 · Q64 · Numerical
Glycerin of density $1.25 \times 1 0^{3} kg m^{- 3}$ is flowing through the conical section of pipe The area of cross-section of the pipe at its ends are $10 cm^{2}$ and $5 cm^{2}$ and pressure drop…2023 · 12 Apr · Shift 1 · Q64 · Numerical
The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at $A$ is $1.5 cm^{2}$ , and $B$ is $25 mm^{2}$ , if the speed of liquid… Includes diagram2023 · 13 Apr · Shift 1 · Q48 · MCQ
Under isothermal condition, the pressure of a gas is given by $P = a V^{- 3}$ , where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to2023 · 13 Apr · Shift 1 · Q56 · MCQ
The elastic potential energy stored in a steel wire of length $20 m$ stretched through $2 cm$ is $80 J$ . The cross sectional area of the wire is $mm^{2}$ . $($ …2023 · 13 Apr · Shift 1 · Q72 · Numerical
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : A spherical body of radius $(5 \pm 0.1) mm$ having a particular density is falling through a…2023 · 13 Apr · Shift 2 · Q48 · MCQ
A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$ , its length increases by ' $l$ '. Another wire of same material of length ' $2 L$ ' and radius ' $2 r$ '…2023 · 15 Apr · Shift 1 · Q45 · MCQ
There is an air bubble of radius $1.0 mm$ in a liquid of surface tension $0.075 Nm^{- 1}$ and density $1000 kg m^{- 3}$ at a depth of $10 cm$ below the free surface. The amount by which the…2023 · 15 Apr · Shift 1 · Q71 · Numerical
A 100 m long wire having cross-sectional area $6.25 \times 1 0^{- 4} m^{2}$ and Young's modulus is $1 0^{10} N m^{- 2}$ is subjected to a load of 250 N, then the elongation in the wire will be :2023 · 24 Jan · Shift 1 · Q48 · MCQ
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Steel is used in the construction of buildings and bridges. Reason R : Steel is more elastic and its elastic limit is high.…2023 · 24 Jan · Shift 2 · Q56 · MCQ
The frequency ( $u$ ) of an oscillating liquid drop may depend upon radius ( $r$ ) of the drop, density ( $ρ$ ) of liquid and the surface tension (s) of the liquid as $u = r^{a} ρ^{b} s^{c}$ . The values of a, b and c respectively are2023 · 24 Jan · Shift 2 · Q61 · MCQ
A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force on the ball when it attains constant velocity is $3696 \times 1 0^{- x}$ N. The value of $x$ …2023 · 24 Jan · Shift 2 · Q71 · Numerical
Match List I with List II Choose the correct answer from the options given below : Includes table2023 · 25 Jan · Shift 1 · Q48 · MCQ
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45 $^{\circ}$ with the load axis. The length… Includes diagram2023 · 25 Jan · Shift 1 · Q69 · Numerical
A spherical drop of liquid splits into 1000 identical spherical drops. If u $_{i}$ is the surface energy of the original drop and u $_{f}$ is the total surface energy of the resulting drops, the (ignoring evaporation), $\frac{u _{f}}{u _{i}} = (\frac{10}{x})$ …2023 · 25 Jan · Shift 2 · Q73 · Numerical
Surface tension of a soap bubble is $2.0 \times 1 0^{- 2} Nm^{- 1}$ . Work done to increase the radius of soap bubble from $3.5 cm$ to $7 cm$ will be: Take $[π = \frac{22}{7}]$ 2023 · 29 Jan · Shift 1 · Q52 · MCQ
A bicycle tyre is filled with air having pressure of $270 kPa$ at $2 7^{\circ} C$ . The approximate pressure of the air in the tyre when the temperature increases to $3 6^{\circ} C$ is2023 · 29 Jan · Shift 1 · Q63 · MCQ
A fully loaded boeing aircraft has a mass of $5.4 \times 1 0^{5}$ kg. Its total wing area is 500 m $^{2}$ . It is in level flight with a speed of 1080 km/h. If the density of air $ρ$ is 1.2 kg m $^{- 3}$ , the fractional increase in the speed of…2023 · 29 Jan · Shift 2 · Q58 · MCQ
A metal block of base area 0.20 m $^{2}$ is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1 N and moves with a constant… Includes diagram2023 · 29 Jan · Shift 2 · Q66 · Numerical
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $5 cm$ . If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density…2023 · 30 Jan · Shift 1 · Q41 · MCQ
Choose the correct relationship between Poisson ratio $(σ)$ , bulk modulus (K) and modulus of rigidity $(η)$ of a given solid object :2023 · 30 Jan · Shift 1 · Q43 · MCQ
A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $0.2 mm$ . If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $2.4$ times…2023 · 30 Jan · Shift 2 · Q48 · MCQ
If 1000 droplets of water of surface tension $0.07 N / m$ , having same radius $1 mm$ each, combine to from a single drop. In the process the released surface energy is :- $(Take π = \frac{22}{7})$ …2023 · 31 Jan · Shift 1 · Q60 · MCQ
A thin rod having a length of $1 m$ and area of cross-section $3 \times 1 0^{- 6} m^{2}$ is suspended vertically from one end. The rod is cooled from $21 0^{\circ} C$ to $16 0^{\circ} C$ . After cooling, a…2023 · 31 Jan · Shift 1 · Q71 · Numerical
For a solid rod, the Young's modulus of elasticity is $3.2 \times 1 0^{11} Nm^{- 2}$ and density is $8 \times 1 0^{3} kg m^{- 3}$ . The velocity of longitudinal wave in the rod will be.2023 · 31 Jan · Shift 2 · Q45 · MCQ
Under the same load, wire A having length $5.0 m$ and cross section $2.5 \times 1 0^{- 5} m^{2}$ stretches uniformly by the same amount as another wire B of length $6.0 m$ and a cross section of $3.0 \times 1 0^{- 5} m^{2}$ …2023 · 31 Jan · Shift 2 · Q59 · MCQ
The bulk modulus of a liquid is 3 $\times$ 1010 Nm $-$ 2. The pressure required to reduce the volume of liquid by 2% is :2022 · 24 Jun · Shift 1 · Q44 · MCQ
Potential energy as a function of r is given by $U = \frac{A}{r ^{10}} - \frac{B}{r ^{5}}$ , where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :2022 · 24 Jun · Shift 2 · Q55 · MCQ
A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $F$ , its length increases by $5 cm$ . Another wire of the same material of length $4 L$ …2022 · 25 Jul · Shift 1 · Q63 · Numerical
A drop of liquid of density $ρ$ is floating half immersed in a liquid of density $σ$ and surface tension $7.5 \times 1 0^{- 4}$ Ncm $-$ 1. The radius of drop in $cm$ will be : (g = 10 ms $-$ 2)2022 · 25 Jul · Shift 2 · Q47 · MCQ
The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :2022 · 25 Jun · Shift 1 · Q49 · MCQ
The velocity of upper layer of water in a river is 36 kmh $-$ 1. Shearing stress between horizontal layers of water is 10 $-$ 3 Nm $-$ 2. Depth of the river is m. (Co-efficient of viscosity of water is 10 $-$ 2…2022 · 25 Jun · Shift 1 · Q64 · Numerical
A water drop of radius $1 cm$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $cm$ , then the gain in surface energy upto first decimal place will be : (Given $π = 3.14$ )2022 · 26 Jul · Shift 1 · Q58 · MCQ
In an experiment to determine the Young's modulus of wire of a length exactly $1 m$ , the extension in the length of the wire is measured as $0.4 mm$ with an uncertainty of $\pm 0.02 mm$ when a load of $1 kg$ …2022 · 26 Jul · Shift 1 · Q66 · Numerical
The area of cross section of the rope used to lift a load by a crane is $2.5 \times 1 0^{- 4} m^{2}$ . The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the…2022 · 26 Jul · Shift 2 · Q57 · MCQ
A uniform heavy rod of mass $20 kg$ , cross sectional area $0.4 m^{2}$ and length $20 m$ is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is $x \times 1 0^{- 9} m$ …2022 · 26 Jul · Shift 2 · Q62 · Numerical
The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 $\times$ 10 $-$ 4 is kJ/m3. Assume that material is elastic upto the… Includes diagram2022 · 26 Jun · Shift 1 · Q61 · Numerical
The elongation of a wire on the surface of the earth is 10 $-$ 4 m. The same wire of same dimensions is elongated by 6 $\times$ 10 $-$ 5 m on another planet. The acceleration due to gravity on the planet will be …2022 · 26 Jun · Shift 1 · Q62 · Numerical
An ideal fluid of density 800 kgm $-$ 3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2}$ . The pressure difference between the wide and narrow sections of pipe is 4100 Pa.… Includes diagram2022 · 26 Jun · Shift 1 · Q68 · Numerical
If p is the density and $η$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is :2022 · 26 Jun · Shift 2 · Q52 · MCQ
Two cylindrical vessels of equal cross-sectional area $16 cm^{2}$ contain water upto heights $100 cm$ and $150 cm$ respectively. The vessels are interconnected so that the water levels in them become equal.…2022 · 27 Jul · Shift 1 · Q51 · MCQ
A square aluminum (shear modulus is $25 \times 1 0^{9} Nm^{- 2}$ ) slab of side $60 cm$ and thickness $15 cm$ is subjected to a shearing force (on its narrow face) of $18.0 \times 1 0^{4} N$ . The lower…2022 · 27 Jul · Shift 1 · Q70 · Numerical
A steel wire of length $3.2 m (Y_{s} = 2.0 \times 1 0^{11} Nm^{- 2})$ and a copper wire of length $4.4 m (Y_{c} = 1.1 \times 1 0^{11} Nm^{- 2})$ ,…2022 · 27 Jul · Shift 2 · Q47 · MCQ
In an experiment to determine the Young's modulus, steel wires of five different lengths $(1, 2, 3, 4$ , and $5 m)$ but of same cross section $(2 mm^{2})$ were taken and curves between extension and load were… Includes diagram2022 · 27 Jul · Shift 2 · Q56 · Numerical
A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single…2022 · 27 Jul · Shift 2 · Q63 · Numerical
The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d2, then the viscous force acting on the ball, will be :2022 · 27 Jun · Shift 1 · Q50 · MCQ
The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-section 1 cm2. A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the…2022 · 27 Jun · Shift 1 · Q66 · Numerical
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The…2022 · 27 Jun · Shift 2 · Q47 · MCQ
A balloon has mass of $10 g$ in air. The air escapes from the balloon at a uniform rate with velocity $4.5 cm / s$ . If the balloon shrinks in $5 s$ completely. Then, the average force acting on that…2022 · 28 Jul · Shift 1 · Q50 · MCQ
The force required to stretch a wire of cross-section $1 cm^{2}$ to double its length will be : (Given Yong's modulus of the wire $= 2 \times 1 0^{11} N / m^{2}$ )2022 · 28 Jul · Shift 1 · Q52 · MCQ
The diameter of an air bubble which was initially $2 mm$ , rises steadily through a solution of density $1750 kg m^{- 3}$ at the rate of $0.35 cms^{- 1}$ . The coefficient of viscosity of the solution…2022 · 28 Jul · Shift 1 · Q68 · Numerical
A pressure-pump has a horizontal tube of cross sectional area $10 cm^{2}$ for the outflow of water at a speed of $20 m / s$ . The force exerted on the vertical wall just in front of the tube which stops water…2022 · 28 Jul · Shift 2 · Q42 · MCQ
Consider a cylindrical tank of radius $1 m$ is filled with water. The top surface of water is at $15 m$ from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of $5 m$ from the… Includes diagram2022 · 28 Jul · Shift 2 · Q46 · MCQ
A string of area of cross-section $4 mm^{2}$ and length $0.5 m$ is connected with a rigid body of mass $2 kg$ . The body is rotated in a vertical circular path of radius $0.5 m$ . The body acquires a…2022 · 28 Jul · Shift 2 · Q59 · Numerical
Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity. Reason R : Coefficient of…2022 · 28 Jun · Shift 1 · Q43 · MCQ
A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy will be :2022 · 28 Jun · Shift 1 · Q48 · MCQ
A water drop of radius 1 $μ$ m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8 $\times$ 10 $-$ 5 Nsm $-$ 2 and its density is negligible as compared to that of water 106 gm…2022 · 28 Jun · Shift 2 · Q56 · MCQ
A liquid of density 750 kgm $-$ 3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 $\times$ 10 $-$ 2 m2 to A2 = $\frac{A _{1}}{2}$ . The pressure difference between the wide and narrow sections of…2022 · 28 Jun · Shift 2 · Q75 · Numerical
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash. Reason (R): Because the angle of contact…2022 · 29 Jul · Shift 1 · Q54 · MCQ
If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :2022 · 29 Jul · Shift 1 · Q55 · MCQ
A tube of length $50 cm$ is filled completely with an incompressible liquid of mass $250 g$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity $x F rad s^{- 1}$ …2022 · 29 Jul · Shift 2 · Q62 · Numerical
A metal wire of length $0.5 m$ and cross-sectional area $1 0^{- 4} m^{2}$ has breaking stress $5 \times 1 0^{8} Nm^{- 2}$ . A block of $10 kg$ is attached at one end of the string and is rotating in a…2022 · 29 Jul · Shift 2 · Q64 · Numerical
The velocity of a small ball of mass $0.3 g$ and density $8 g / cc$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $1.3 g / cc$ …2022 · 29 Jul · Shift 2 · Q65 · Numerical
The speed of a transverse wave passing through a string of length $50 cm$ and mass $10 g$ is $60 ms^{- 1}$ . The area of cross-section of the wire is $2.0 mm^{2}$ and its Young's modulus is $1.2 \times 1 0^{11} Nm^{- 2}$ …2022 · 29 Jul · Shift 2 · Q66 · Numerical
A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspended respectively from its free end. Then the value of L is equal to :2022 · 29 Jun · Shift 1 · Q46 · MCQ
A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs $-$ 1 and at a speed of 10 ms $-$ 1. Then, the initial acceleration of the block, in ms $-$ 2,… Includes diagram2022 · 29 Jun · Shift 1 · Q51 · MCQ
A small spherical ball of radius 0.1 mm and density 104 kg m $-$ 3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall…2022 · 29 Jun · Shift 2 · Q63 · Numerical
An air bubble of negligible weight having radius r rises steadily through a solution of density $σ$ at speed v. The coefficient of viscosity of the solution is given by :2022 · 30 Jun · Shift 1 · Q46 · MCQ
The excess pressure inside a liquid drop is 500 Nm $-$ 2. If the radius of the drop is 2 mm, the surface tension of liquid is x $\times$ 10 $-$ 3 Nm $-$ 1. The value of x is .2022 · 30 Jun · Shift 1 · Q62 · Numerical
A steel rod with y = 2.0 $\times$ 1011 Nm $-$ 2 and $α$ = 10 $-$ 5 $^{\circ}$ C $-$ 1 of length 4 m and area of cross-section 10 cm2 is heated from 0 $^{\circ}$ C to 400 $^{\circ}$ C without being allowed to extend. The tension produced in…2021 · 1 Sep · Shift 2 · Q72 · Numerical
The pressure acting on a submarine is 3 $\times$ 105 Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be : (Assume that atmospheric pressure is 1 $\times$ 105 Pa density…2021 · 16 Mar · Shift 1 · Q44 · MCQ
What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min? The radius of the tap and viscosity of water are 0.5 cm and 10 $-$ 3 Pa s, respectively. (Density of water : 103…2021 · 16 Mar · Shift 2 · Q46 · MCQ
When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :2021 · 17 Mar · Shift 1 · Q49 · MCQ
An object is located at 2 km beneath the surface of the water. If the fractional compression $\frac{Δ V}{V}$ is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be . [Given :…2021 · 17 Mar · Shift 2 · Q60 · MCQ
Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm3 of oleic acid per cm3 of the solution. Then you make a thin film of this solution (monomolecular thickness) of area 4 cm2 by…2021 · 17 Mar · Shift 2 · Q61 · Numerical
Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are made up of same material and the radius of wire B is 4 times that of the radius of wire A.…2021 · 18 Mar · Shift 1 · Q65 · Numerical
Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bottom whose cross-section area is 1 cm2. A load of 24 kg is applied on the water at the top when the height of the water… Includes diagram2021 · 18 Mar · Shift 2 · Q65 · Numerical
The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are l1 and l2 respectively. The actual length of the metal wire is :2021 · 20 Jul · Shift 1 · Q63 · MCQ
The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is :2021 · 20 Jul · Shift 2 · Q50 · MCQ
Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy before and after the change is :2021 · 20 Jul · Shift 2 · Q62 · MCQ
If Y, K and $η$ are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.2021 · 24 Feb · Shift 1 · Q56 · MCQ
A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift kg when the diameter of the larger piston is increased by 4 times and that of the smaller piston is decreased by 4…2021 · 24 Feb · Shift 1 · Q66 · Numerical
A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be cm.2021 · 24 Feb · Shift 2 · Q61 · Numerical
Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y1 and Y2. The combination behaves as a single wire then its Young's modulus is :2021 · 25 Jul · Shift 1 · Q55 · MCQ
Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to :2021 · 25 Jul · Shift 2 · Q57 · MCQ
Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube. [Take surface tension of water T =…2021 · 26 Aug · Shift 1 · Q47 · MCQ
A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap bubble which has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is…2021 · 26 Aug · Shift 1 · Q66 · Numerical
Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $\frac{24}{π} \times 1 0^{2}$ Nm-2. What is the minimum radius of the wire ? (Take g = 10 ms-2) Includes diagram2021 · 26 Aug · Shift 2 · Q62 · MCQ
A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the rise in heat energy per unit volume will be :2021 · 26 Feb · Shift 1 · Q47 · MCQ
The normal density of a material is $ρ$ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be :2021 · 26 Feb · Shift 1 · Q60 · MCQ
The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the wire will be :2021 · 26 Feb · Shift 2 · Q58 · MCQ
In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius 2.0 $\times$ 10 $-$ 5 m and density 1.2 $\times$ 103 kgm $-$ 3 ? Take viscosity of liquid = 1.8 $\times$ 10 $-$ 5 Nsm $-$ 2. (Neglect buoyancy…2021 · 27 Aug · Shift 1 · Q55 · MCQ
Wires W1 and W2 are made of same material having the breaking stress of 1.25 $\times$ 109 N/m2. W1 and W2 have cross-sectional area of 8 $\times$ 10 $-$ 7 m2 and 4 $\times$ 10 $-$ 7 m2, respectively. Masses of 20 kg and 10 kg hang from… Includes diagram2021 · 27 Aug · Shift 2 · Q62 · Numerical
A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the… Includes diagram2021 · 27 Jul · Shift 1 · Q59 · MCQ
A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross section 10 $-$ 6 m2 stretched by an amount 0.04 m. The velocity of the projected stone is m/s. (Young's modulus of rubber…2021 · 27 Jul · Shift 1 · Q71 · Numerical
A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the…2021 · 27 Jul · Shift 2 · Q47 · MCQ
The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum…2021 · 27 Jul · Shift 2 · Q71 · Numerical
A uniform heavy rod of weight 10 kg ms $-$ 2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 $\times$ 1011 Nm $-$ 2. Neglecting the lateral contraction, find the…2021 · 31 Aug · Shift 1 · Q55 · MCQ
When a rubber ball is taken to a depth of m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 $\times$ 108 Nm $-$ 2, Density of sea water = 103 kgm $-$ 3, g = 9.8 m/s2)2021 · 31 Aug · Shift 1 · Q64 · Numerical
Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $\times$ 103 kg. The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform local distribution, calculate the…2021 · 31 Aug · Shift 2 · Q43 · MCQ
A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is $ω$ rad s–1. The difference in the… Includes diagram2020 · 2 Sep · Shift 1 · Q53 · MCQ
A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm–1, density = 667 kg m–3) which rises to height h in the tube. It is observed that the two tangents…2020 · 2 Sep · Shift 2 · Q52 · MCQ
A wire of density 9 $\times$ 10–3 kg cm–3 is stretched between two clamps 1 m apart. The resulting strain in the wire is 4.9 $\times$ 10–4. The lowest frequency of the transverse vibrations in the wire is : (Young’s modulus of wire Y = 9 $\times$ …2020 · 2 Sep · Shift 2 · Q65 · Numerical
When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within it. If the contact angle between the liquid and glass to close to 0o, the surface tension of the liquid, in milliNewton…2020 · 3 Sep · Shift 1 · Q44 · Numerical
Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :2020 · 3 Sep · Shift 1 · Q59 · MCQ
A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water offers negligible drag force on the bubble. The mass of the bubble is (g = 980 cm/s2).2020 · 4 Sep · Shift 1 · Q50 · MCQ
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2 . When both cylinders are…2020 · 4 Sep · Shift 2 · Q44 · MCQ