2005 · Shift 0

183 questions · JEE Main

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2005 · Shift 0

2005 · Shift 0

183 questions · JEE Main

Chemistry59 questions Mathematics56 questions Physics68 questions

Q1.An amount of solid $N H_{4} H S$ is placed in a flask already containing ammonia gas at a certain temperature and 0.50 atm. Pressure. Ammonium hydrogen sulphide decomposes to yield $N H_{3}$ and $H_{2} S$ gases in the flask. When the decomposition…
Chemistry · Chemical Equilibrium · MCQ
Q2.Consider the reaction: $N_{2}$ + 3 $H_{2}$ $\to$ 2 $N H_{3}$ carried out at constant temperature and pressure. If $Δ H$ and $Δ U$ are the enthalpy and internal energy changes for the reaction, which of the following expressions is true?
Chemistry · Thermodynamics · MCQ
Q3.If the bond dissociation energies of $X Y$ , $X_{2}$ and $Y_{2}$ (all diatomic molecules) are in the ratio of 1:1:0.5 and $Δ H_{f}$ for the formation of $X Y$ is -200 kJ mole-1. The bond dissociation energy of $X_{2}$ will be :
Chemistry · Thermodynamics · MCQ
Q4.Consider an endothermic reaction, X $\to$ Y with the activation energies Eb and Ef for the backward and forward reactions, respectively. In general :
Chemistry · Thermodynamics · MCQ
Q5.If $α$ is the degree of dissociation of $N a_{2} S O_{4}$ , the vant Hoff’s factor (i) used for calculating the molecular mass is :
Chemistry · Solutions · MCQ
Q6.The solubility product of a salt having general formula $M X_{2}$ , in water is: 4 $\times$ 10-12 . The concentration of $M^{2 +}$ ions in the aqueous solution of the salt is :
Chemistry · Ionic Equilibrium · MCQ
Q7.The exothermic formation of $C l F_{3}$ is represented by the equation: $C l_{2}$ (g) + 3 $F_{2}$ (g) $⇋$ 2 $C l F_{3}$ (g); $Δ H$ = -329 kJ Which of the following will increase the quantity of $C l F_{3}$ in an equilibrium mixture of…
Chemistry · Chemical Equilibrium · MCQ
Q8.For the reaction 2 $N O_{2}$ (g) $⇋$ 2 $N O$ (g) + $O_{2}$ (g), (Kc = 1.8 $\times$ 10-6 at 184oC) (R = 0.0831 kJ/(mol. K)) When Kp and Kc are compared at 184oC , it is found that :
Chemistry · Chemical Equilibrium · MCQ
Q9.What is the conjugate base of $O H^{-}$ ?
Chemistry · Ionic Equilibrium · MCQ
Q10.Hydrogen ion concentration in mol / L in a solution of pH = 5.4 will be :
Chemistry · Ionic Equilibrium · MCQ
Q11.Which one of the following species is diamagnetic in nature?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q12.Due to the presence of an unpaired electron, free radicals are:
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Reaction of one molecule of HBr with one molecule of 1,3-butadiene at 40oC gives predominantly
Chemistry · Hydrocarbons · MCQ
Q14.Of the five isomeric hexanes, the isomer which can give two monochlorinated compounds is
Chemistry · Hydrocarbons · MCQ
Q15.2 methylbutane on reacting with bromine in the presence of sunlight gives mainly
Chemistry · Hydrocarbons · MCQ
Q16.Acid catalyzed hydration of alkenes except ethene leads to the formation of
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.Which types of isomerism is shown by 2,3-dichlorobutane?
Chemistry · Hydrocarbons · MCQ
Q18.Benzene and toluene form nearly ideal solutions. At 20 oC, the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial vapour pressure of benzene at 20 oC for a solution containing 78 g of benzene and 46 g of…
Chemistry · Solutions · MCQ
Q19.Equimolar solutions in the same solvent have
Chemistry · Solutions · MCQ
Q20.Amongst the following the most basic compound is
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.Which one of the following methods is neither meant for the synthesis nor for separation of amines?
Chemistry · Compounds Containing Nitrogen · MCQ
Q22.An organic compound having molecular mass 60 is found to contain C = 20%, H = 6.67% and N = 46.67% while rest is oxygen. On heating it gives $N H_{3}$ along with a solid residue. The solid residue give violet colour with alkaline copper…
Chemistry · Compounds Containing Nitrogen · MCQ
Q23.In both DNA and RNA, heterocyclic base and phosphate ester linkages are at-
Chemistry · Biomolecules · MCQ
Q24.Reaction of cyclohexanone with dimethylamine in the presence of catalytic amount of an acid forms a compound if water during the reaction is continuously removed. The compound formed is generally known as
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q25.The decreasing order of nucleophilicity among the nucleophiles Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q26.The reaction is fastest when $X$ is Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q27.A schematic plot of $l n K_{e q}$ versus inverse of temperature for a reaction is shown below The reaction must be Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q28. $p$ -cresol reacts with chloroform in alkaline medium to give the compound A which adds hydrogen cyanide to form, the compound $B .$ The latter on acidic hydrolysis gives chiral carboxylic acid. The structure of the carboxylic acid is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q29.The oxidation state of chromium in the final product formed the reaction between $K I$ and acidified potassium dichromate solution is :
Chemistry · D and F Block Elements · MCQ
Q30.On heating mixture of $C u_{2} O$ and $C u_{2} S$ will give :
Chemistry · D and F Block Elements · MCQ
Q31.Calomel $(H g_{2} C l_{2})$ on reaction with ammonium hydroxide gives :
Chemistry · D and F Block Elements · MCQ
Q32.Pick out the isoelectronic structure from the following : $(i) C H_{3}^{+} (ii) H_{3} O^{+} (iii) N H_{3} (i v) C H_{3}^{-}$ …
Chemistry · Structure of Atom · MCQ
Q33.For a spontaneous reaction the ∆G , equilibrium constant (K) and $E_{ce l l}^{o}$ will be respectively
Chemistry · Electrochemistry · MCQ
Q34.Aluminium oxide may be electrolysed at 1000oC to furnish aluminium metal (Atomic mass = 27 amu; 1 Faraday = 96,500 Coulombs). The cathode reaction is $A l^{3 +}$ + 3 $e^{-}$ $\to$ Alo To prepare 5.12 kg of aluminium metal by this method would…
Chemistry · Electrochemistry · MCQ
Q35.The highest electrical conductivity of the following aqueous solutions is of :
Chemistry · Electrochemistry · MCQ
Q36.Calculate $\land_{H O A c}^{\infty}$ Using appropriate molar conductances of the electrolytes listed above at infinite dilution in H2O at 25oC Includes table
Chemistry · Electrochemistry · MCQ
Q37.Hydrogen bomb is based on the principle of
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q38.A reaction involving two different reactants can never be
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q39.The photon of hard gamma radiation knocks a proton out of $_{12}^{24} M g$ nucleus to form
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q40.t1/4 can be taken as the time taken for the concentration of a reactant to drop to $\frac{3}{4}$ of its initial value. If the rate constant for a first order reaction is K, the t1/4 can be written as
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q41.The lanthanide contraction is responsible for the fact that :
Chemistry · D and F Block Elements · MCQ
Q42.Which of the following factors may be regarded as the main cause of lanthanide contraction?
Chemistry · D and F Block Elements · MCQ
Q43.The IUPAC name of the coordination compound $K_{3} [F e (C N)_{6}]$ is
Chemistry · Coordination Compounds · MCQ
Q44.The oxidation state of Cr in $[C r (N H_{3})_{4} C l_{2}]^{+}$ is :
Chemistry · Coordination Compounds · MCQ
Q45.Which of the following compounds shows optical isomerism?
Chemistry · Coordination Compounds · MCQ
Q46.The value of the ‘spin only’ magnetic moment for one of the following configurations is 2.84 BM. The correct one is :
Chemistry · Coordination Compounds · MCQ
Q47.Which one of the following cyano complexes would exhibit the lowest value of paramagnetic behaviour? (At. No. Cr = 24, Mn = 25, Fe = 26, Co = 27)
Chemistry · Coordination Compounds · MCQ
Q48.Tertiary alkyl halides are practically inert to substitution by SN2 mechanism because of
Chemistry · Haloalkanes and Haloarenes · MCQ
Q49.Elimination of bromine from 2-bromobutane results in the formation of-
Chemistry · Haloalkanes and Haloarenes · MCQ
Q50.Alkyl halides react with dialkyl copper reagents to give
Chemistry · Haloalkanes and Haloarenes · MCQ
Q51.The best reagent to convert pent -3- en-2-ol into pent -3-en-2-one is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q52.Among the following acids which has the lowest pKa value?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q53.Two solutions of a substance (non electrolyte) are mixed in the following manner. 480 ml of 1.5 M first solution + 520 ml of 1.2 M second solution. What is the molarity of the final mixture?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q54.If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of the substance will
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q55.Of the following sets which one does NOT contain isoelectronic species?
Chemistry · Structure of Atom · MCQ
Q56.In a multi-electron atom, which of the following orbitals described by the three quantum members will have the same energy in the absence of magnetic and electric fields? (A) n = 1, l = 0, m = 0 (B) n = 2, l = 0, m = 0 (C) n = 2, l = 1, m…
Chemistry · Structure of Atom · MCQ
Q57.Which of the following oxides is amphoteric in character?
Chemistry · Periodic Table and Periodicity · MCQ
Q58.In which of the following arrangements the order is NOT according to the property indicated against it?
Chemistry · Periodic Table and Periodicity · MCQ
Q59.Lattice energy of an ionic compounds depends upon
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q60.Let $f : (- 1, 1) \to B$ , be a function defined by $f (x) = tan^{- 1} \frac{2 x}{1 - x ^{2}}$ , then $f$ is both one-one and onto when B is the interval
Mathematics · Functions · MCQ
Q61.A real valued function f(x) satisfies the functional equation f(x - y) = f(x)f(y) - f(a - x)f(a + y) where a is given constant and f(0) = 1, f(2a - x) is equal to
Mathematics · Functions · MCQ
Q62.A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?
Mathematics · Application of Derivatives · MCQ
Q63.Suppose $f (x)$ is differentiable at x = 1 and $h \to 0 lim \frac{1}{h} f (1 + h) = 5$ , then $f^{'} (1)$ equals
Mathematics · Limits Continuity and Differentiability · MCQ
Q64.Let $α$ and $β$ be the distinct roots of $a x^{2} + b x + c = 0$ , then $x \to α lim \frac{1 - c o s ( a x ^{2} + b x + c )}{( x - α ) ^{2}}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q65.If $f$ is a real valued differentiable function satisfying $∣ f (x) - f (y) ∣ \leq (x - y)^{2}$ , $x, y \in R$ and $f (0)$ = 0, then $f (1)$ equals
Mathematics · Limits Continuity and Differentiability · MCQ
Q66.If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately :
Mathematics · Statistics · MCQ
Q67.Let x1, x2,...........,xn be n observations such that $\sum x_{i}^{2} = 400$ and $\sum x_{i} = 80$ . Then a possible value of n among the following is
Mathematics · Statistics · MCQ
Q68.If the roots of the equation $x^{2} - b x + c = 0$ be two consecutive integers, then $b^{2} - 4 c$ equals
Mathematics · Quadratic Equation and Inequalities · MCQ
Q69.The value of $a$ for which the sum of the squares of the roots of the equation $x^{2} - (a - 2) x - a - 1 = 0$ assume the least value is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q70.If the cube roots of unity are 1, $ω, ω^{2}$ then the roots of the equation $(x - 1)^{3}$ + 8 = 0, are :
Mathematics · Complex Numbers · MCQ
Q71.The value of $- π \int π \frac{c o s ^{2}}{1 + a ^{x}} d x, a > 0,$ is
Mathematics · Definite Integration · MCQ
Q72.Area of the greatest rectangle that can be inscribed in the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$
Mathematics · Application of Derivatives · MCQ
Q73.A spherical iron ball $10$ cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of $50$ cm $^{3}$ /min. When the thickness of ice is $5$ cm, then the rate at which the thickness of ice decreases is
Mathematics · Application of Derivatives · MCQ
Q74.If $A^{2} - A + 1 = 0$ , then the inverse of $A$ is :
Mathematics · Matrices and Determinants · MCQ
Q75.The system of equations $α x + y + z = α - 1 x + α y + z = α - 1 x + y + α z = α - 1$ has no solutions, if $α$ is :
Mathematics · Matrices and Determinants · MCQ
Q76.If $a_{1}, a_{2}, a_{3}, ........, a_{n}, .....$ are in G.P., then the determinant $Δ = lo g a_{n} lo g a_{n + 3} lo g a_{n + 6} lo g a_{n + 1} lo g a_{n + 4} lo g a_{n + 7} lo g a_{n + 2} lo g a_{n + 5} lo g a_{n + 8}$ …
Mathematics · Matrices and Determinants · MCQ
Q77.If $a^{2} + b^{2} + c^{2} = - 2$ and f $(x) = 1 + a^{2} x (1 + a^{2}) x (1 + a^{2}) x (1 + b^{2}) x 1 + b^{2} x (1 + b^{2}) x (1 + c^{2}) x (1 + c^{2}) x 1 + c^{2} x,$ …
Mathematics · Matrices and Determinants · MCQ
Q78. $\int {\frac{( l o g x - 1 )}{1 + ( l o g x ) ^{2}}}^{2} d x$ is equal to
Mathematics · Indefinite Integrals · MCQ
Q79.If $I_{1} = 0 \int 1 2^{x^{2}} d x, I_{2} = 0 \int 1 2^{x^{3}} d x, I_{3} = 1 \int 2 2^{x^{2}} d x$ and $I_{4} = 1 \int 2 2^{x^{3}} d x$ then
Mathematics · Definite Integration · MCQ
Q80.The area enclosed between the curve $y = lo g_{e} (x + e)$ and the coordinate axes is :
Mathematics · Area Under the Curves · MCQ
Q81.The parabolas $y^{2} = 4 x$ and $x^{2} = 4 y$ divide the square region bounded by the lines $x = 4, y = 4$ and the coordinate axes. If $S_{1}, S_{2}, S_{3}$ are respectively the areas of these parts numbered from top to bottom ; then $S_{1}, S_{2}, S_{3}$ …
Mathematics · Area Under the Curves · MCQ
Q82.Let $f (x)$ be a non - negative continuous function such that the area bounded by the curve $y = f (x), x$ -axis and the ordinates $x = \frac{π}{4}$ and $x = β > \frac{π}{4}$ is $(β sin β + \frac{π}{4} cos β + 2 β) .$ …
Mathematics · Area Under the Curves · MCQ
Q83.If $cos^{- 1} x - cos^{- 1} \frac{y}{2} = α,$ then $4 x^{2} - 4 x y cos α + y^{2}$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q84.The value of integral, $3 \int 6 \frac{x}{9 - x + x} d x$ is
Mathematics · Definite Integration · MCQ
Q85.The differential equation representing the family of curves $y^{2} = 2 c (x + c),$ where $c > 0,$ is a parameter, is of order and degree as follows:
Mathematics · Differential Equations · MCQ
Q86.If $x \frac{d y}{d x} = y (lo g y - lo g x + 1),$ then the solution of the equation is :
Mathematics · Differential Equations · MCQ
Q87.Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :
Mathematics · Probability · MCQ
Q88.A random variable $X$ has Poisson distribution with mean $2$ . Then $P (X > 1.5)$ equals :
Mathematics · Probability · MCQ
Q89.Let $A$ and $B$ two events such that $P (\overline{A \cup B}) = \frac{1}{6}, P (A \cap B) = \frac{1}{4}$ and $P (\overline{A}) = \frac{1}{4},$ where $\overline{A}$ stands for complement of…
Mathematics · Probability · MCQ
Q90.If $C$ is the mid point of $A B$ and $P$ is any point outside $A B,$ then :
Mathematics · Vector Algebra · MCQ
Q91.Let $a, b$ and $c$ be distinct non-negative numbers. If the vectors $a i + a j + c k, i + k$ and $c i + c j + b k$ lie in a plane, then $c$ is :
Mathematics · Vector Algebra · MCQ
Q92.The angle between the lines $2 x = 3 y = - z$ and $6 x = - y = - 4 z$ is :
Mathematics · 3D Geometry · MCQ
Q93.If a vertex of a triangle is $(1, 1)$ and the mid points of two sides through this vertex are $(- 1, 2)$ and $(3, 2)$ then the centroid of the triangle is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q94.If $z_{1}$ and $z_{2}$ are two non-zero complex numbers such that $∣ z_{1} + z_{2} ∣ = ∣ z_{1} ∣ + ∣ z_{2} ∣$ , then arg $z_{1}$ - arg $z_{2}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q95.If $ω = \frac{z}{z - \frac{1}{3} i}$ and $∣ ω ∣ = 1$ , then $z$ lies on :
Mathematics · Complex Numbers · MCQ
Q96.In a triangle $P QR, ∠ R = \frac{π}{2} . I f tan (\frac{P}{2})$ and $tan (\frac{Q}{2})$ are the roots of $a x^{2} + b x + c = 0, a e 0$ then
Mathematics · Quadratic Equation and Inequalities · MCQ
Q97.If both the roots of the quadratic equation $x^{2} - 2 k x + k^{2} + k - 5 = 0$ are less than 5, then $k$ lies in the interval
Mathematics · Quadratic Equation and Inequalities · MCQ
Q98.If the letter of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
Mathematics · Permutations and Combinations · MCQ
Q99.If the coefficient of $x^{7}$ in $[a x^{2} + (\frac{1}{b x})]^{11}$ equals the coefficient of $x^{- 7}$ in $[a x - (\frac{1}{b x ^{2}})]^{11}$ , then $a$ and $b$ satisfy…
Mathematics · Binomial Theorem · MCQ
Q100.If $x$ is so small that $x^{3}$ and higher powers of $x$ may be neglected, then $\frac{( 1 + x ) ^{\frac{3}{2}} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{\frac{1}{2}}}$ may be approximated…
Mathematics · Binomial Theorem · MCQ
Q101.If the coefficients of rth, (r+1)th, and (r + 2)th terms in the binomial expansion of $(1 + y)^{m}$ are in A.P., then m and r satisfy the equation
Mathematics · Binomial Theorem · MCQ
Q102.If $x = n = 0 \sum \infty a^{n}, y = n = 0 \sum \infty b^{n}, z = n = 0 \sum \infty c^{n},$ where a, b, c are in A.P and $∣ a ∣ < 1, ∣ b ∣ < 1, ∣ c ∣ < 1$ …
Mathematics · Sequences and Series · MCQ
Q103.The line parallel to the $x$ - axis and passing through the intersection of the lines $a x + 2 b y + 3 b = 0$ and $b x - 2 a y - 3 a = 0,$ where $(a, b) e (0, 0)$ is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q104.If a circle passes through the point (a, b) and cuts the circle $x^{2} + y^{2} = p^{2}$ orthogonally, then the equation of the locus of its centre is :
Mathematics · Circle · MCQ
Q105.If the circles $x^{2} + y^{2} + 2 a x + cy + a = 0$ and $x^{2} + y^{2} - 3 a x + d y - 1 = 0$ intersect in two ditinct points P and Q then the line 5x + by - a = 0 passes through P and Q for :
Mathematics · Circle · MCQ
Q106.If the pair of lines $a x^{2} + 2 (a + b) x y + b y^{2} = 0$ lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then :
Mathematics · Circle · MCQ
Q107.An ellipse has $O B$ as semi minor axis, $F$ and $F$ ' its focii and theangle $F B F$ ' is a right angle. Then the eccentricity of the ellipse is :
Mathematics · Ellipse · MCQ
Q108.Let $P$ be the point $(1, 0)$ and $Q$ a point on the parabola $y^{2} = 8 x$ . The locus of mid point of $P Q$ is :
Mathematics · Parabola · MCQ
Q109.The value of $a$ for which the sum of the squares of the roots of the equation $x^{2} - (a - 2) x - a - 1 = 0$ assume the least value is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q110.Let $f : R \to R$ be a differentiable function having $f (2) = 6$ , $f^{'} (2) = (\frac{1}{48})$ . Then $x \to 2 lim 6 \int f (x) \frac{4 t ^{3}}{x - 2} d t$ …
Mathematics · Definite Integration · MCQ
Q111.If the roots of the equation $x^{2} - b x + c = 0$ be two consecutive integers, then $b^{2} - 4 c$ equals
Mathematics · Quadratic Equation and Inequalities · MCQ
Q112.For any vector $a$ , the value of $(a \times i)^{2} + (a \times j)^{2} + (a \times k)^{2}$ is equal…
Mathematics · Vector Algebra · MCQ
Q113.If non zero numbers $a, b, c$ are in $H . P .,$ then the straight line $\frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0$ always passes through a fixed point. That point is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q114.Let $R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12)$ , $(3, 9), (3, 12), (3, 6)}$ be a relation on the set $A = {3, 6, 9, 12}$ . The relation is :
Mathematics · Sets and Relations · MCQ
Q115.A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of $2 cm / s^{2}$ and pursues the insect which is crawling uniformly along a straight line at a speed of $20 cm / s$ …
Mathematics · Application of Derivatives · MCQ
Q116.In a full wave rectifier circuit operating from $50 H z$ mains frequency, the fundamental frequency in the ripple would be
Physics · Electronic Devices · MCQ
Q117.A nuclear transformation is denoted by $X (n, α) 73 L i .$ Which of the following is the nucleus of element $X$ ?
Physics · Atoms and Nuclei · MCQ
Q118.The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy? Includes diagram
Physics · Atoms and Nuclei · MCQ
Q119.A photocell is illuminated by a small bright source placed $1 m$ away. When the same source of light is placed $\frac{1}{2} m$ away, the number of electrons emitted by photo-cathode would
Physics · Dual Nature of Radiation · MCQ
Q120.A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is $\frac{4}{3}$ and the fish is $12 c m$ below the surface, the radius of this circle in $c m$ is
Physics · Geometrical Optics · MCQ
Q121.Two sources of equal $e m f$ are connected to an external resistance $R .$ The internal resistance of the two sources are $R_{1}$ and $R_{2} (R_{1} > R_{1}) .$ If the potential difference across the source having internal…
Physics · Current Electricity · MCQ
Q122.A moving coil galvanometer has $150$ equal divisions. Its current sensitivity is $10$ - divisions per milliampere and voltage sensitivity is $2$ divisions per millivolt. In order that each division reads $1$ volt, the resistance in $o hm s$ …
Physics · Current Electricity · MCQ
Q123.The resistance of hot tungsten filament is about $10$ times the cold resistance. What will be resistance of $100 W$ and $200 V$ lamp when not in use ?
Physics · Current Electricity · MCQ
Q124.An energy source will supply a constant current into the load if its internal resistance is
Physics · Current Electricity · MCQ
Q125.Two concentric coils each of radius equal to $2 π c m$ are placed at right angles to each other. $3$ ampere and $4$ ampere are the currents flowing in each coil respectively . The magnetic induction in Weber / $m^{2}$ at the center of the…
Physics · Magnetics · MCQ
Q126.A magnetic needle is kept in a non-uniform magnetic field. It experiences :
Physics · Magnetic Properties of Matter · MCQ
Q127.A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then
Physics · Magnetics · MCQ
Q128.A charged particle of mass $m$ and charge $q$ travels on a circular path of radius $r$ that is perpendicular to a magnetic field $B .$ The time taken by the particle to complete one revolution is
Physics · Magnetics · MCQ
Q129.The self inductance of the motor of an electric fan is $10 H$ . In order to impart maximum power at $50 H z$ , it should be connected to a capacitance of
Physics · Alternating Current · MCQ
Q130.A coil of inductance $300 m H$ and resistance $2 Ω$ is connected to a source of voltage $2 V$ . The current reaches half of its steady state value in
Physics · Electromagnetic Induction · MCQ
Q131.A circuit has a resistance of $12 o hm$ and an impedance of $15 o hm$ . The power factor of the circuit will be
Physics · Alternating Current · MCQ
Q132.The phase difference between the alternating current and $e m f$ is $\frac{π}{2} .$ Which of the following cannot be the constituent of the circuit?
Physics · Alternating Current · MCQ
Q133.Two point white dots are $1 mm$ apart on a black paper. They are viewed by eye of pupil diameter $3 mm .$ Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light $= 500 nm$ ]
Physics · Wave Optics · MCQ
Q134.A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is
Physics · Wave Optics · MCQ
Q135.A thin glass (refractive index $1.5$ ) lens has optical power of $- 5 D$ in air. Its optical power in a liquid medium with refractive index $1.6$ will be
Physics · Geometrical Optics · MCQ
Q136.If $I_{0}$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?
Physics · Wave Optics · MCQ
Q137.When an unpolarized light of intensity $I_{0}$ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is
Physics · Wave Optics · MCQ
Q138.One conducting $U$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field $B$ is perpendicular to the plane of the figure. If each tube moves towards the other at a constant… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q139.The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $2480 nm$ is incident on it. The band gap in $(e V)$ for the semiconductor is
Physics · Electronic Devices · MCQ
Q140.If the kinetic energy of a free electron doubles, it's deBroglie wavelength changes by the factor
Physics · Dual Nature of Radiation · MCQ
Q141.In the circuit, the galvanometer $G$ shows zero deflection. If the batteries $A$ and $B$ have negligible internal resistance, the value of the resistor $R$ will be - Includes diagram
Physics · Current Electricity · MCQ
Q142.Two simple harmonic motions are represented by the equations $y_{1} = 0.1 sin (100 π t + \frac{π}{3})$ and $y_{2} = 0.1 cos π t .$ The phase difference of the velocity of particle $1$ with respect to the velocity…
Physics · Simple Harmonic Motion · MCQ
Q143.Average density of the earth
Physics · Gravitation · MCQ
Q144.If $S$ is stress and $Y$ is young's modulus of material of a wire, the energy stored in the wire per unit volume is
Physics · Properties of Matter · MCQ
Q145.A $20 c m$ long capillary tube is dipped in water. The water rises up to $8 c m .$ If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be
Physics · Properties of Matter · MCQ
Q146.A block is kept on a frictionless inclined surface with angle of inclination $^{'} α^{'} .$ The incline is given an acceleration $a$ to keep the block stationary. Then $a$ is equal to Includes diagram
Physics · Laws of Motion · MCQ
Q147.The block of mass $M$ moving on the frictionless horizontal surface collides with the spring of spring constant $k$ and compresses it by length $L .$ The maximum momentum of the block after collision is Includes diagram
Physics · Center of Mass · MCQ
Q148.A mass $^{'} m^{'}$ moves with a velocity $^{'} v^{'}$ and collides inelastically with another identical mass. After collision the $1^{s t}$ mass moves with velocity $\frac{v}{3}$ in a direction perpendicular to the initial direction of… Includes diagram
Physics · Center of Mass · MCQ
Q149.A gaseous mixture consists of $16 g$ of helium and $16 g$ of oxygen. The ratio $\frac{C p}{C _{v}}$ of the mixture is
Physics · Heat and Thermodynamics · MCQ
Q150.Which of the following is incorrect regarding the first law of thermodynamics?
Physics · Heat and Thermodynamics · Multiple correct
Q151.A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $^{'} F^{'}$ is applied at the point $P$ parallel to $A B,$ such that the object has only the translational motion without… Includes diagram
Physics · Center of Mass · MCQ
Q152.A system goes from $A$ to $B$ via two processes $I$ and $I I$ as shown in figure. If $Δ U_{1}$ and $Δ U_{2}$ are the changes in internal energies in the processes $I$ and $I I$ respectively, then Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q153.The figure shows a system of two concentric spheres of radii $r_{1}$ and $r_{2}$ are kept at temperatures $T_{1}$ and $T_{2}$ , respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q154.The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q155.The function $sin^{2} (ω t)$ represents
Physics · Simple Harmonic Motion · MCQ
Q156.The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
Physics · Simple Harmonic Motion · MCQ
Q157.If a simple harmonic motion is represented by $\frac{d ^{2} x}{d t ^{2}} + α x = 0.$ its time period is
Physics · Simple Harmonic Motion · MCQ
Q158.When two tuning forks (fork $1$ and fork $2$ ) are sounded simultaneously, $4$ beats per second are heated. Now, some tape is attached on the prong of the fork $2.$ When the tuning forks are sounded again, $6$ beats per second are heard. If…
Physics · Waves · MCQ
Q159.Two point charges $+ 8 q$ and $- 2 q$ are located at $x = 0$ and $x = L$ respectively. The location of a point on the $x$ axis at which the net electric field due to these two point charges is zero is
Physics · Electrostatics · MCQ
Q160.A parallel plate capacitor is made by stacking $n$ equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is $^{'} C^{'}$ then the resultant capacitance is
Physics · Capacitor · MCQ
Q161.Two thin wire rings each having a radius $R$ are placed at a distance $d$ apart with their axes coinciding. The charges on the two rings are $+ q$ and $- q .$ The potential difference between the centres of the two rings is
Physics · Electrostatics · MCQ
Q162.A charged ball $B$ hangs from a silk thread $S,$ which makes angle $θ$ with a large charged conducting sheet $P,$ as shown in the figure. The surface charge density $σ$ of the sheet is proportional to f Includes diagram
Physics · Electrostatics · MCQ
Q163.A fully charged capacitor has a capacitance $^{'} C^{'}$ . It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $^{'} s^{'}$ and mass $^{'} m^{'} .$ If the temperature of the block is raised…
Physics · Capacitor · MCQ
Q164.Two thin, long, parallel wires, separated by a distance $^{'} d^{'}$ carry a current of $^{'} i^{'} A$ in the same direction. They will
Physics · Magnetics · MCQ
Q165.A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
Physics · Current Electricity · MCQ
Q166.Two voltmeters, one of copper and another of silver, are joined in parallel. When a total charge $q$ flows through the voltmeters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are $Z_{1}$ …
Physics · Current Electricity · MCQ
Q167.A particle of mass $10 g$ is kept on the surface of a uniform sphere of mass $100 k g$ and radius $10 c m .$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 1 0^{- 11} N m^{2} / k g^{2}$ …
Physics · Gravitation · MCQ
Q168.Out of the following pair, which one does NOT have identical dimensions is
Physics · Units and Measurements · MCQ
Q169.A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is 15 S, then
Physics · Motion in A Straight Line · MCQ
Q170.The relation between time t and distance x is t = ax2 + bx where a and b are constants. The acceleration is
Physics · Motion in A Straight Line · MCQ
Q171.A particle is moving eastwards with a velocity of 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is
Physics · Motion in A Plane · MCQ
Q172.A parachutist after bailing out falls $50 m$ without friction. When parachute opens, it decelerates at $2 m / s^{2} .$ He reaches the ground with a speed of $3 m / s$ . At what height, did he bail out?
Physics · Motion in A Straight Line · MCQ
Q173.A bullet fired into a fixed target loses half of its velocity after penetrating $3 c m .$ How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
Physics · Work Power and Energy · MCQ
Q174.A smooth block is released at rest on a $4 5^{\circ}$ incline and then slides a distance $^{'} d^{'}$ . The time taken to slide is $^{'} n^{'}$ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
Physics · Laws of Motion · MCQ
Q175.A particle of mass 0.3 kg subjected to a force $F = - k x$ with $k = 15 N / m$ . What will be its initial acceleration if it is released from a point 20 cm away from the origin?
Physics · Laws of Motion · MCQ
Q176.Consider a car moving on a straight road with a speed of $100 m / s$ . The distance at which car can be stopped is $[μ_{k} = 0.5]$
Physics · Laws of Motion · MCQ
Q177.An annular ring with inner and outer radii $R_{1}$ and $R_{2}$ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $\frac{F _{1}}{F _{2}}$ …
Physics · Rotational Motion · MCQ
Q178.The upper half of an inclined plane with inclination $ϕ$ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is…
Physics · Work Power and Energy · MCQ
Q179.A body of mass $m$ is accelerated uniformly from rest to a speed $v$ in a time $T .$ The instantaneous power delivered to the body as a function of time is given by
Physics · Work Power and Energy · MCQ
Q180.A spherical ball of mass $20 k g$ is stationary at the top of a hill of height $100 m$ . It rolls down a smooth surface to the ground, then climbs up another hill of height $30 m$ and finally rolls down to a horizontal base at a height of $20 m$ …
Physics · Work Power and Energy · MCQ
Q181.The moment of inertia of a uniform semicircular disc of mass $M$ and radius $r$ about a line perpendicular to the plane of the disc through the center is
Physics · Rotational Motion · MCQ
Q182.A body $A$ of mass $M$ while falling vertically downloads under gravity breaks into two-parts; a body $B$ of mass $\frac{1}{3} M$ and a body $C$ of mass $\frac{2}{3} M .$ The center of mass of bodies $B$ and $C$ taken together shifts compared…
Physics · Center of Mass · MCQ
Q183.The change in the value of $g$ at a height $h$ above the surface of the earth is the same as at a depth $d$ below the surface of earth. When both $d$ and $h$ are much smaller than the radius of earth, then which one of the following is…
Physics · Gravitation · MCQ