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question_answer1) A bullet losses 1/30th of its velocity in passing through a plank. The least number of planks to stop the bullet would be (a) 11 (b) 14 (c) 16 (d) 15
question_answer2) A massive platform of mass M is moving with speed . At a body of massis gently placed on the platform. If coefficient of friction between body and platform is and . Then, (a) the body covers a distance 3 m on the platform in the direction of motion of the plat form. (b) the body covers a distance 3 m on the platform opposite to the direction of motion of plat form before coming to rest. (c) the body covers a distance 6 m on the platform in the direction of motion of the platform. (d) the body covers a distance 6 m on the platform opposite to the direction of motion of platform before coming to rest.
question_answer3) A given ray of light suffers minimum deviation in an equilateral prism P. Additional prism Q and R of identical shape and of the same material as Pare now added as shown in the figure. The ray will now suffer s (a) greater deviation (b) no deviation (c) same deviation as before (d) total internal reflection
question_answer4) Two coherent monochromatic light beams of intensities and are superimposed. The maximum and minimum possible intensities in the resulting beam are (a)and (b) and (c)and (d) and
question_answer5) A ray incident at a point as an angle of incidence of 60?, enters a glass sphere of refractive index, and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted rays at this surface is (a) 50? (b) 60? (c) 90? (d) 40?
question_answer6) A rod of length falls on two metal pads of same height from a height h. The coefficients of restitution of the metal pads are and . The angular velocity of the rod after it recoils is (a) (b) (c) (d)
question_answer7) A uniform rod of length and mass M is suspended on two vertical inextensible string as shown in the figure. Calculate tension T in left string at the instant, when right string snaps. (a) (b) (c) (d)
question_answer8) A particle with charge +q and mass m, moving under the influence of a uniform electric field and a uniform magnetic field follows a trajectory from P to Q as shown. The velocities at P and Q are and . Which of the following is incorrect? (a) (b) The rate of work done by the electric field at P is (c) The rate of work done by the electric field at P is 0. (d) The rate of work done by both the fields at Q is 0.
question_answer9) In the figure shown, the magnetic field at the point P is (a) (b) (c) (d)
question_answer10) The average translational energy and the speed of molecules in a sample of oxygen at 300K are and 484 m/s, respectively. The corresponding values at 600Kare nearly (assuming ideal gas behavior). (a) (b) (c) (d)
question_answer11) In a room, where the temperature is 30?C, a body cools from 61?C to 59?C is 4 min. The time taken by the body to cool from 51?C to 49?C will be (a) 4 min (b) 6 min (c) 5 min (d) 8 min
question_answer12) A planet has twice the density of earth but the acceleration due to gravity on its surface is exactly the same as that on the surface of earth. Its radius in terms of earth's radius R will be (a) (b) (c) (d)
question_answer13) A cube of mass m and density D is suspended from the point P by a spring of stiffness k. The system is kept inside a beaker filled with a liquid of density d. The elongation in the spring, assuming D > d, is (a) (b) (c) (d) None of these
question_answer14) A small hole is made at a height of from the bottom of a cylindrical water tank and at a depth of from the upper level of water in the tank. The distance where the water emerging from the hole strikes the ground is (a) (b) (c) 2 m (d) None of these
question_answer15) A conducting loop is pulled with a constant velocity towards a region of constant (steady) magnetic field d induction B as shown in the figure. Then, the current involved in the loop is (d > r) (a) clockwise (b) anti-clockwise (c) zero (d) All of these
question_answer16) Two identical capacitors, have the same capacitance C. One of them is charged to potential and the other to . The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is (a) (b) (c) (d)
question_answer17) A charge is placed at the axis of a charged ring of radius r at a distance of as shown in figure. If ring is fixed and carrying a charge Q, the kinetic energy of charge ?q when it is released and reaches the centre of ring will be (a) (b) (c) (d)
question_answer18) A block Q of mass M is placed on a frictionless horizontal surface AB and a body P of mass m is released on its frictionless slope. As P slides by a length L on this slope of inclination , the block Q would slide by a distance (a) (b) (c) (d)
question_answer19) The de-Broglie wavelength of a particle moving with a velocity m/s is equal to the wavelength of photon. The ratio of kinetic energy of the particle to the energy of the photon is (velocity of light is m/s) (a) (b) (c) (d)
question_answer20) Figure shows a network of a capacitor and resistors. The charge on capacitor in steady state is (a) (b) (c) (d)
question_answer21) Consider the situation shown in figure, find the tension in string AB consider pulley and string as frictionless and mass less (a) 3 N (b) 2 N (c) 8 N (d) 0
question_answer22) An insect crawls up a hemispherical surface very slowly (figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of is given by (a) (b) (c) (d)
question_answer23) A rod of length (laterally thermally insulated) of uniform cross-sectional area A consists of a material whose thermal conductivity varies with temperature as where , a and b are constants. andare the temperature of two ends of rod. Then, rate of flow of heat across the rod is (a) (b) (c) (d)
question_answer24) Directions According to the 6ohr model, the energy levels of a hydrogen atom can be found by making two assumptions. (i) The electrons move in a circular orbit and (ii) the angular momentum of the electron in the nenergy level is quantized to have a value,. The levels calculated with a nuclear charge deals with a single electron in the orbit are called hydrogenic levels. Assume that the two electrons in the ground, state of a helium atom occupy the corresponding lowest hydrogenic level. The minimum repulsive energy between the two electrons would then be (a) 3.4 eV (b) 6.8 eV (c)13.6eV (d) 27.2eV
question_answer25) Directions According to the 6ohr model, the energy levels of a hydrogen atom can be found by making two assumptions. (i) The electrons move in a circular orbit and (ii) the angular momentum of the electron in the nenergy level is quantized to have a value,. The levels calculated with a nuclear charge deals with a single electron in the orbit are called hydrogenic levels. Assume that the two electrons in the ground, state of a helium atom occupy the corresponding lowest hydrogenic level. If for a hydrogen atom ionization temperature is T, the temperature at which He atoms ionize completely (both electrons having left off the atom) would be (a) 8T (b) 4T (c) 6T (d) 2T
question_answer26) Directions A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emfand galvanometer. For a given potentiometer if and resistance R varies with time t given by. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at. If jockey starts moving from A atand balancing point found a, then the value of is (a) 1 V (b) 2V (c) 3 V (d) 4 V
question_answer27) Directions A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emfand galvanometer. For a given potentiometer if and resistance R varies with time t given by. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at. If jockey starts moving from A at s, then the balancing point will be obtained at (a) (b) (c) (d)
question_answer28) Directions A potentiometer is device used for measuring emf and internal resistance of a cell. It consists of two circuits one is main circuit in which there is a cell of given emf and given resistance R which is connected across a wire of length 100 cm having resistance r. Another circuit having unknown emfand galvanometer. For a given potentiometer if and resistance R varies with time t given by. The jockey can move on wire with constant velocity 10 cm/s and switch S is closed at. If balancing length is found to be 70 cm, then the time after which jockey starts moving from (a) 1 s (b) 2 s (c) 3 s (d) 4 s
question_answer29) Statement I Suppose the earth has a whole along one of its diameter. A particle of very small mass is droped into it. It executes the SHM Statement II The gravitational acceleration is always directing towards a fixed point. (a) Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. (b) Statement I is true, Statement II is also true and Statement II is not the correct explanation of Statement I. (c) Statement I is true, Statement II is false. (d) Statement I is false, Statement II is true.
question_answer30) Statement I Two non-ideal batteries are connected in parallel, the equivalent emf is smaller than either of the two emfs. Statement II Two non-ideal batteries are connected in parallel, the equivalent internal resistance is smaller than either of the two internal resistances. (a) Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. (b) Statement I is true, Statement II is also true and Statement It is not the correct explanation of Statement I. (c) Statement I is true, Statement II is false. (d) Statement I is false, Statement II is true.
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