2012 · Shift 0

69 questions · JEE Main

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JEE Main
Papers
2012 · Shift 0

2012 · Shift 0

69 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics25 questions

Q1.Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol ( $C_{2} H_{6} O_{2}$ ) must you add to get the freezing point of the solution lowered to –2.8oC ?
Chemistry · Solutions · MCQ
Q2.The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is 1.15 g/mL. The molarity of this solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q3.2–Hexyne gives trans–2–Hexene on treatment with :
Chemistry · Hydrocarbons · MCQ
Q4.Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl halide ?
Chemistry · Hydrocarbons · MCQ
Q5.The equilibrium constant (KC) for the reaction $N_{2}$ (g) + $O_{2}$ (g) $\to$ 2 $N O$ (g) at temperature T is 4 $\times$ 10–4. The value of KC for the reaction, $N O$ (g) $\to$ 1/2 $N_{2}$ (g) + 1/2 $O_{2}$ (g) at the same temperature is :
Chemistry · Chemical Equilibrium · MCQ
Q6.The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :
Chemistry · Ionic Equilibrium · MCQ
Q7.The incorrect expression among the following is :
Chemistry · Thermodynamics · MCQ
Q8.The standard reduction potentials for $Z n^{2 +}$ / $Z n$ , $N i^{2 +}$ / $N i$ , and $F e^{2 +}$ / $F e$ are –0.76, –0.23 and –0.44 V respectively. The reaction X + $Y^{2 +}$ $\to$ $X^{2 +}$ + Y will be spontaneous when :
Chemistry · Electrochemistry · MCQ
Q9.Which one of the following statements is correct ?
Chemistry · Biomolecules · MCQ
Q10.In the given transformation, which of the following is the most appropriate reagent ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.Which of the following compounds can be detected by Molisch’s test ?
Chemistry · Biomolecules · MCQ
Q12.Iodoform can be prepared from all except :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.What is DDT among the following?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q14.How many chiral compounds are possible on monochlorination of 2–methyl butane ?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?
Chemistry · Coordination Compounds · MCQ
Q16.Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?
Chemistry · D and F Block Elements · MCQ
Q17.The molecule having smallest bond angle is :
Chemistry · P Block Elements · MCQ
Q18.For a first order reaction, (A) $\to$ products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of A is 0.01 M is :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q19.In which of the following pairs the two species are not isostructural ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q20.Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q21.The increasing order of the ionic radii of the given isoelectronic species is :
Chemistry · Periodic Table and Periodicity · MCQ
Q22.The electrons identified by quantum numbers n and l : (a) n = 4, $l$ = 1 (b) n = 4, $l$ = 0 (c) n = 3, $l$ = 2 (d) n = 3, $l$ = 1 Can be placed in order of increasing energy as :
Chemistry · Structure of Atom · MCQ
Q23.Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $\subseteq$ X, Z $\subseteq$ X and Y $\cap$ Z is empty, is :
Mathematics · Sets and Relations · MCQ
Q24.Let x1, x2,........., xn be n observations, and let $\overline{x}$ be their arithematic mean and $σ^{2}$ be their variance. Statement 1 : Variance of 2x1, 2x2,......., 2xn is 4 $σ^{2}$ . Statement 2 : : Arithmetic mean of 2x1,…
Mathematics · Statistics · MCQ
Q25.If $f : R \to R$ is a function defined by $f (x) = [x] cos (\frac{2 x - 1}{2}) π$ , where [x] denotes the greatest integer function, then $f$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.Consider the function, $f (x) = ∣ x - 2 ∣ + ∣ x - 5 ∣, x \in R$ Statement - 1 : $f^{'} (4) = 0$ Statement - 2 : $f$ is continuous in [2, 5], differentiable in (2, 5) and $f$ (2) = $f$ (5)
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let $a, b \in R$ be such that the function $f$ given by $f (x) = I n ∣ x ∣ + b x^{2} + a x, x e 0$ has extreme values at $x = - 1$ and $x = 2$ Statement-1 : $f$ has local maximum at $x = - 1$ and at $x = 2$ . Statement-2 : $a = \frac{1}{2}$ …
Mathematics · Application of Derivatives · MCQ
Q28.Let $a$ and $b$ be two unit vectors. If the vectors $c = a + 2 b$ and $d = 5 a - 4 b$ are perpendicular to each other, then the angle…
Mathematics · Vector Algebra · MCQ
Q29.Three numbers are chosen at random without replacement from ${1, 2, 3, ..8} .$ The probability that their minimum is $3,$ given that their maximum is $6,$ is :
Mathematics · Probability · MCQ
Q30.The population $p (t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{d p ( t )}{d t} = 0.5 p (t) - 450.$ If $p (0) = 850,$ then the time at which the population becomes zero is…
Mathematics · Differential Equations · MCQ
Q31.If $g (x) = 0 \int x cos 4 t d t,$ then $g (x + π)$ equals
Mathematics · Definite Integration · Multiple correct
Q32.The area between the parabolas $x^{2} = \frac{y}{4}$ and $x^{2} = 9 y$ and the straight line $y = 2$ is :
Mathematics · Area Under the Curves · MCQ
Q33.If the $\int \frac{5 t a n x}{t a n x - 2} d x = x + a ln ∣ sin x - 2 cos x ∣ + k,$ then $a$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q34.A line is drawn through the point $(1, 2)$ to meet the coordinate axes at $P$ and $Q$ such that it forms a triangle $O P Q,$ where $O$ is the origin. If the area of the triangle $O P Q$ is least, then the slope of the line $P Q$ is :
Mathematics · Application of Derivatives · MCQ
Q35.If the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4}$ and $\frac{x - 3}{1} = \frac{y - k}{2} = \frac{z}{1}$ intersect, then $k$ is equal to :
Mathematics · 3D Geometry · MCQ
Q36.A spherical balloon is filled with $4500 π$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $72 π$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the…
Mathematics · Application of Derivatives · MCQ
Q37.An ellipse is drawn by taking a diameter of thec circle $(x - 1)^{2} + y^{2} = 1$ as its semi-minor axis and a diameter of the circle $x^{2} + (y - 2)^{2} = 4$ is semi-major axis. If the centre of the…
Mathematics · Ellipse · MCQ
Q38.The length of the diameter of the circle which touches the $x$ -axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is :
Mathematics · Circle · MCQ
Q39.If the line $2 x + y = k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ , then $k$ equals :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q40.If $n$ is a positive integer, then $(3 + 1)^{2 n} - (3 - 1)^{2 n}$ is :
Mathematics · Binomial Theorem · MCQ
Q41.Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is:
Mathematics · Permutations and Combinations · MCQ
Q42.The equation $e^{s i n x} - e^{- s i n x} - 4 = 0$ has:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q43.If $z e 1$ and $\frac{z ^{2}}{z - 1}$ is real, then the point represented by the complex number z lies :
Mathematics · Complex Numbers · MCQ
Q44.Let $A B C D$ be a parallelogram such that $A B = q, A D = p$ and $∠ B A D$ be an acute angle. If $r$ is the vector that coincide with the altitude…
Mathematics · Vector Algebra · MCQ
Q45.Truth table for system of four $N A N D$ gates as shown in figure is: Includes diagram
Physics · Electronic Devices · MCQ
Q46.A diatomic molecule is made of two masses $m_{1}$ and $m_{2}$ which are separated by a distance $r .$ If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by: ( $n$ is an…
Physics · Atoms and Nuclei · MCQ
Q47.Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutron $= 1.6725 \times 1 0^{- 27} k g,$ mass of proton $= 1.6725 \times 1 0^{- 27} k g,$ mass of electron $= 9 \times 1 0^{- 31} k g$ …
Physics · Atoms and Nuclei · MCQ
Q48.Hydrogen atom is excited from ground state to another state with principal quantum number equal to $4.$ Then the number of spectral lines in the emission spectra will be :
Physics · Atoms and Nuclei · MCQ
Q49.An object $2.4 m$ in front of a lens forms a sharp image on a film $12 c m$ behind the lens. A glass plate $1 c m$ thick, of refractive index $1.50$ is interposed between lens and film with its plane faces parallel to film. At what distance…
Physics · Geometrical Optics · MCQ
Q50.An electromagnetic wave in vacuum has the electric and magnetic field $E \to$ and $B \to$ , which are always perpendicular to each other. The direction of polarization is given by $X \to$ and…
Physics · Electromagnetic Waves · MCQ
Q51.In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If $I_{m}$ be the maximum intensity, the resultant intensity $I$ when they…
Physics · Wave Optics · MCQ
Q52.A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate…
Physics · Electromagnetic Induction · MCQ
Q53.A charge $Q$ is uniformly distributed over the surface of non-conducting disc of radius $R .$ The disc rotates about an axis perpendicular to its plane and passing through its center with an angular velocity $ω .$ As a result of this…
Physics · Magnetics · MCQ
Q54.The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $τ$ of this circuit lies between Includes diagram
Physics · Capacitor · MCQ
Q55.A particle of mass $m$ is at rest at the origin at time $t = 0.$ It is subjected to a force $F (t) = F_{0} e^{- b t}$ in the $x$ direction. Its speed $v (t)$ is depicted by which of the following curves?
Physics · Laws of Motion · MCQ
Q56.Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, denuteron and alpha particle are respectively $r_{p}, r_{d}$ and $r_{α}$ . Which one of…
Physics · Magnetics · MCQ
Q57.The mass of a spaceship is $1000 k g .$ It is to be launched from the earth's surface out into free space. The value of $g$ and $R$ (radius of earth ) are $10 m / s^{2}$ and $6400 k m$ respectively. The required energy for this work will be:
Physics · Gravitation · MCQ
Q58.Two electric bulbs marked $25 W - 220 V$ and $100 W - 220 V$ are connected in series to a $440 V$ supply. Which of the bulbs will fuse?
Physics · Current Electricity · MCQ
Q59.This question has statement- $1$ and statement- $2.$ Of the four choices given after the statements, choose the one that best describe the two statements. An insulating solid sphere of radius $R$ has a uniformly positive charge density $ρ$ …
Physics · Electrostatics · MCQ
Q60.In a uniformly charged sphere of total charge $Q$ and radius $R,$ the electric field $E$ is plotted as function of distance from the center. The graph which would correspond to the above will be:
Physics · Electrostatics · MCQ
Q61.A cylindrical tube, open at both ends, has a fundamental frequency, $f,$ in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now :
Physics · Waves · MCQ
Q62.A wooden wheel of radius $R$ is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area $S$ and length $L . L$ is slightly less than $2 π R .$ To fit the ring on the… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q63.Helium gas goes through a cycle $A B C D$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency of this cycle is nearly : (Assume the gas to be close to ideal gas) Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q64.A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $1.5 \times 1 0^{- 2} N$ (see figure). The length of the slider is $30 c m$ and its weight negligible. The surface tension of the liquid film is Includes diagram
Physics · Properties of Matter · MCQ
Q65.This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements. If two springs $S_{1}$ and $S_{2}$ of force constants $k_{1}$ and $k_{2}$ ,…
Physics · Work Power and Energy · MCQ
Q66.A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
Physics · Motion in A Plane · MCQ
Q67.Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
Physics · Circular Motion · MCQ
Q68.A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading : 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on…
Physics · Units and Measurements · MCQ
Q69.Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in…
Physics · Units and Measurements · MCQ

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2012 · Shift 0

69 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2012 · Shift 0

2012 · Shift 0

69 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics25 questions

Q1.Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol ( $C_{2} H_{6} O_{2}$ ) must you add to get the freezing point of the solution lowered to –2.8oC ?
Chemistry · Solutions · MCQ
Q2.The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is 1.15 g/mL. The molarity of this solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q3.2–Hexyne gives trans–2–Hexene on treatment with :
Chemistry · Hydrocarbons · MCQ
Q4.Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl halide ?
Chemistry · Hydrocarbons · MCQ
Q5.The equilibrium constant (KC) for the reaction $N_{2}$ (g) + $O_{2}$ (g) $\to$ 2 $N O$ (g) at temperature T is 4 $\times$ 10–4. The value of KC for the reaction, $N O$ (g) $\to$ 1/2 $N_{2}$ (g) + 1/2 $O_{2}$ (g) at the same temperature is :
Chemistry · Chemical Equilibrium · MCQ
Q6.The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :
Chemistry · Ionic Equilibrium · MCQ
Q7.The incorrect expression among the following is :
Chemistry · Thermodynamics · MCQ
Q8.The standard reduction potentials for $Z n^{2 +}$ / $Z n$ , $N i^{2 +}$ / $N i$ , and $F e^{2 +}$ / $F e$ are –0.76, –0.23 and –0.44 V respectively. The reaction X + $Y^{2 +}$ $\to$ $X^{2 +}$ + Y will be spontaneous when :
Chemistry · Electrochemistry · MCQ
Q9.Which one of the following statements is correct ?
Chemistry · Biomolecules · MCQ
Q10.In the given transformation, which of the following is the most appropriate reagent ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.Which of the following compounds can be detected by Molisch’s test ?
Chemistry · Biomolecules · MCQ
Q12.Iodoform can be prepared from all except :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.What is DDT among the following?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q14.How many chiral compounds are possible on monochlorination of 2–methyl butane ?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?
Chemistry · Coordination Compounds · MCQ
Q16.Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?
Chemistry · D and F Block Elements · MCQ
Q17.The molecule having smallest bond angle is :
Chemistry · P Block Elements · MCQ
Q18.For a first order reaction, (A) $\to$ products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of A is 0.01 M is :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q19.In which of the following pairs the two species are not isostructural ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q20.Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q21.The increasing order of the ionic radii of the given isoelectronic species is :
Chemistry · Periodic Table and Periodicity · MCQ
Q22.The electrons identified by quantum numbers n and l : (a) n = 4, $l$ = 1 (b) n = 4, $l$ = 0 (c) n = 3, $l$ = 2 (d) n = 3, $l$ = 1 Can be placed in order of increasing energy as :
Chemistry · Structure of Atom · MCQ
Q23.Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $\subseteq$ X, Z $\subseteq$ X and Y $\cap$ Z is empty, is :
Mathematics · Sets and Relations · MCQ
Q24.Let x1, x2,........., xn be n observations, and let $\overline{x}$ be their arithematic mean and $σ^{2}$ be their variance. Statement 1 : Variance of 2x1, 2x2,......., 2xn is 4 $σ^{2}$ . Statement 2 : : Arithmetic mean of 2x1,…
Mathematics · Statistics · MCQ
Q25.If $f : R \to R$ is a function defined by $f (x) = [x] cos (\frac{2 x - 1}{2}) π$ , where [x] denotes the greatest integer function, then $f$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.Consider the function, $f (x) = ∣ x - 2 ∣ + ∣ x - 5 ∣, x \in R$ Statement - 1 : $f^{'} (4) = 0$ Statement - 2 : $f$ is continuous in [2, 5], differentiable in (2, 5) and $f$ (2) = $f$ (5)
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let $a, b \in R$ be such that the function $f$ given by $f (x) = I n ∣ x ∣ + b x^{2} + a x, x e 0$ has extreme values at $x = - 1$ and $x = 2$ Statement-1 : $f$ has local maximum at $x = - 1$ and at $x = 2$ . Statement-2 : $a = \frac{1}{2}$ …
Mathematics · Application of Derivatives · MCQ
Q28.Let $a$ and $b$ be two unit vectors. If the vectors $c = a + 2 b$ and $d = 5 a - 4 b$ are perpendicular to each other, then the angle…
Mathematics · Vector Algebra · MCQ
Q29.Three numbers are chosen at random without replacement from ${1, 2, 3, ..8} .$ The probability that their minimum is $3,$ given that their maximum is $6,$ is :
Mathematics · Probability · MCQ
Q30.The population $p (t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{d p ( t )}{d t} = 0.5 p (t) - 450.$ If $p (0) = 850,$ then the time at which the population becomes zero is…
Mathematics · Differential Equations · MCQ
Q31.If $g (x) = 0 \int x cos 4 t d t,$ then $g (x + π)$ equals
Mathematics · Definite Integration · Multiple correct
Q32.The area between the parabolas $x^{2} = \frac{y}{4}$ and $x^{2} = 9 y$ and the straight line $y = 2$ is :
Mathematics · Area Under the Curves · MCQ
Q33.If the $\int \frac{5 t a n x}{t a n x - 2} d x = x + a ln ∣ sin x - 2 cos x ∣ + k,$ then $a$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q34.A line is drawn through the point $(1, 2)$ to meet the coordinate axes at $P$ and $Q$ such that it forms a triangle $O P Q,$ where $O$ is the origin. If the area of the triangle $O P Q$ is least, then the slope of the line $P Q$ is :
Mathematics · Application of Derivatives · MCQ
Q35.If the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4}$ and $\frac{x - 3}{1} = \frac{y - k}{2} = \frac{z}{1}$ intersect, then $k$ is equal to :
Mathematics · 3D Geometry · MCQ
Q36.A spherical balloon is filled with $4500 π$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $72 π$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the…
Mathematics · Application of Derivatives · MCQ
Q37.An ellipse is drawn by taking a diameter of thec circle $(x - 1)^{2} + y^{2} = 1$ as its semi-minor axis and a diameter of the circle $x^{2} + (y - 2)^{2} = 4$ is semi-major axis. If the centre of the…
Mathematics · Ellipse · MCQ
Q38.The length of the diameter of the circle which touches the $x$ -axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is :
Mathematics · Circle · MCQ
Q39.If the line $2 x + y = k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ , then $k$ equals :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q40.If $n$ is a positive integer, then $(3 + 1)^{2 n} - (3 - 1)^{2 n}$ is :
Mathematics · Binomial Theorem · MCQ
Q41.Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is:
Mathematics · Permutations and Combinations · MCQ
Q42.The equation $e^{s i n x} - e^{- s i n x} - 4 = 0$ has:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q43.If $z e 1$ and $\frac{z ^{2}}{z - 1}$ is real, then the point represented by the complex number z lies :
Mathematics · Complex Numbers · MCQ
Q44.Let $A B C D$ be a parallelogram such that $A B = q, A D = p$ and $∠ B A D$ be an acute angle. If $r$ is the vector that coincide with the altitude…
Mathematics · Vector Algebra · MCQ
Q45.Truth table for system of four $N A N D$ gates as shown in figure is: Includes diagram
Physics · Electronic Devices · MCQ
Q46.A diatomic molecule is made of two masses $m_{1}$ and $m_{2}$ which are separated by a distance $r .$ If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by: ( $n$ is an…
Physics · Atoms and Nuclei · MCQ
Q47.Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutron $= 1.6725 \times 1 0^{- 27} k g,$ mass of proton $= 1.6725 \times 1 0^{- 27} k g,$ mass of electron $= 9 \times 1 0^{- 31} k g$ …
Physics · Atoms and Nuclei · MCQ
Q48.Hydrogen atom is excited from ground state to another state with principal quantum number equal to $4.$ Then the number of spectral lines in the emission spectra will be :
Physics · Atoms and Nuclei · MCQ
Q49.An object $2.4 m$ in front of a lens forms a sharp image on a film $12 c m$ behind the lens. A glass plate $1 c m$ thick, of refractive index $1.50$ is interposed between lens and film with its plane faces parallel to film. At what distance…
Physics · Geometrical Optics · MCQ
Q50.An electromagnetic wave in vacuum has the electric and magnetic field $E \to$ and $B \to$ , which are always perpendicular to each other. The direction of polarization is given by $X \to$ and…
Physics · Electromagnetic Waves · MCQ
Q51.In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If $I_{m}$ be the maximum intensity, the resultant intensity $I$ when they…
Physics · Wave Optics · MCQ
Q52.A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate…
Physics · Electromagnetic Induction · MCQ
Q53.A charge $Q$ is uniformly distributed over the surface of non-conducting disc of radius $R .$ The disc rotates about an axis perpendicular to its plane and passing through its center with an angular velocity $ω .$ As a result of this…
Physics · Magnetics · MCQ
Q54.The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $τ$ of this circuit lies between Includes diagram
Physics · Capacitor · MCQ
Q55.A particle of mass $m$ is at rest at the origin at time $t = 0.$ It is subjected to a force $F (t) = F_{0} e^{- b t}$ in the $x$ direction. Its speed $v (t)$ is depicted by which of the following curves?
Physics · Laws of Motion · MCQ
Q56.Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, denuteron and alpha particle are respectively $r_{p}, r_{d}$ and $r_{α}$ . Which one of…
Physics · Magnetics · MCQ
Q57.The mass of a spaceship is $1000 k g .$ It is to be launched from the earth's surface out into free space. The value of $g$ and $R$ (radius of earth ) are $10 m / s^{2}$ and $6400 k m$ respectively. The required energy for this work will be:
Physics · Gravitation · MCQ
Q58.Two electric bulbs marked $25 W - 220 V$ and $100 W - 220 V$ are connected in series to a $440 V$ supply. Which of the bulbs will fuse?
Physics · Current Electricity · MCQ
Q59.This question has statement- $1$ and statement- $2.$ Of the four choices given after the statements, choose the one that best describe the two statements. An insulating solid sphere of radius $R$ has a uniformly positive charge density $ρ$ …
Physics · Electrostatics · MCQ
Q60.In a uniformly charged sphere of total charge $Q$ and radius $R,$ the electric field $E$ is plotted as function of distance from the center. The graph which would correspond to the above will be:
Physics · Electrostatics · MCQ
Q61.A cylindrical tube, open at both ends, has a fundamental frequency, $f,$ in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now :
Physics · Waves · MCQ
Q62.A wooden wheel of radius $R$ is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area $S$ and length $L . L$ is slightly less than $2 π R .$ To fit the ring on the… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q63.Helium gas goes through a cycle $A B C D$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency of this cycle is nearly : (Assume the gas to be close to ideal gas) Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q64.A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $1.5 \times 1 0^{- 2} N$ (see figure). The length of the slider is $30 c m$ and its weight negligible. The surface tension of the liquid film is Includes diagram
Physics · Properties of Matter · MCQ
Q65.This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements. If two springs $S_{1}$ and $S_{2}$ of force constants $k_{1}$ and $k_{2}$ ,…
Physics · Work Power and Energy · MCQ
Q66.A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
Physics · Motion in A Plane · MCQ
Q67.Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
Physics · Circular Motion · MCQ
Q68.A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading : 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on…
Physics · Units and Measurements · MCQ
Q69.Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in…
Physics · Units and Measurements · MCQ