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question_answer1) The equation of the stationary wave is Which of the following statement(s) is wrong? (a) The unit of is same as that of . (b) The unit of is same as that of . (c) The unit of is same as that of (d) The unit of is same as that of.
question_answer2) A particle is projected from ground making an angle with the horizontal. The value of for which, at the highest point of its trajectory, kinetic energy of particle will be equal to its potential energy, is (a) 30? (b) 45? (c) 60? (d) 75o
question_answer3) A spherical ball rolls on a table without slipping. Then, the fraction of its total energy associated with rotation is (a) 2/5 (b) 2/7 (c) 3/5 (d) 3/7
question_answer4) If B is the bulk modulus of a metal and a pressure p is applied uniformly on all sides of the metal with density D, then the fractional increase in density is given by (a) (b) (c) (d)
question_answer5) A water barrel having water up to a depth d is placed on a table of height h. A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls on the ground at a horizontal distance R from the barrel, then the value of d is (a) (b) (c) (d)
question_answer6) If two like charges of magnitude and are separated by a distance of 1 m, then the point on the line joining the charges, where the force experienced by a charge placed at that point is zero, is (a) 0.25 m from the charge (b) 0.75 m from the charge (c) Both (a) and (b) (d) at all points on the line pining the charges
question_answer7) Six equal capacitors, each of capacitance C are connected as shown in the figure. Then, the equivalent capacitance between A and B is (a) 6C (b) C (c) 2C (d)
question_answer8) A conducting wire is stretched to increase its length by 2%. What is the percentage change in its resistance? (a) 2% (b) 4% (c) 8% (d) 1%
question_answer9) Flux (in weber) in a closed circuit of resistance varies with time t (in seconds) according to the equation The magnitude of the induced current in the circuit at is (a) 0.2 A (b) 0.6 A (c) 0.8 A (d) 1.2 A
question_answer10) A 1 m long mirror is placed at a distance 4 m from a tall building as shown in figure. What height of the building can be seen in the mirror from a point at a distance 2 m from the mirror? (a) 1 m (b) 2 (c) 3 m (d) 4 m
question_answer11) A block of pure silicon at 300 K has a length of 10cm and an area of . If a battery of 2 V is connected across it, what is the electron-current? The mobility of electrons is and their number density is . (a) (b) (c) (d)
question_answer12) A freely falling body, falling from a tower of height h covers a distance h/2 in the last second of its motion. The height of tower is nearly (a) 58 m (b) 50 m (c) 60 m (d) 65 m
question_answer13) A ball collides elastically with another ball of the same mass. The collision is oblique and initially one of the balls was at rest. After the collision, the two balls move with same speeds. What will be the angle between the velocity of the balls after the collision? (a) 30? (b) 45? (c) 60? (d) 90?
question_answer14) A cubical block of mass m and edge a slides down a rough inclined plane of inclination with a uniform velocity. The torque of the normal force on the block about its centre has a magnitude (a) zero (b) (c) (d)
question_answer15) We have two (narrow) capillary tubes and . Then lengths are and and radii of cross-sections are and respectively. The rate of flow of water under a pressure difference through the tube is . If and. What will be the rate of flow when the two tubes are connected in series and pressure difference across the combination is same as before (=p)? (a) (b) (c) (d) None of these
question_answer16) The elastic flux through a hemisphere surface of radius R, placed in a uniform electric field of intensity E parallel to the axis of its plane is (a) (b) (c) (d)
question_answer17) If the velocity v of a particle moving along a straight line decreases linearly with its displacement S from to a value approaching zero at , then acceleration of the particle at , is (a) (b) (c) (d)
question_answer18) A disc of mass 10 kg is kept floating horizontally by throwing 10 marbles per second against it from below. The marbles strike the disc normally and rebound downwards with the same speed. If the mass of each marble is 5 g, the velocity with which the marbles are strike the disc is (a) (b) (c) (d)
question_answer19) The displacement of a particle of mass m kg moving in one dimension, under the action of a force is related to the time t by the equation where x is in metre and t is in second. The work done by the force in the first six seconds in joule is (a) zero (b) 3m (c) 6 m (d) 9 m
question_answer20) Two cones A and B are made of two different materials, the density of A being greater than that of B. The height of B is greater than that of A but their base areas and masses are the same. The correct statement about the moment of inertia of the two cones about their axes, is (a) A will have larger moment of inertia than B (b) 6 will have larger moment of inertia than A (c) in such a situation, it is dependent upon the height of the cone, the mass of the cone and radius of the base (d) the moment of inertia of the two will be the same as it is not dependent upon height of the cone but depends only upon the mass and the base area
question_answer21) There are some passengers inside a stationary railway compartment. The centre of mass of the compartment itself is , while the centre of mass of the 'compartment plus passengers' system is. If the passengers move about inside the compartment (a) both and will move w.r.t. ground (b) neither and will move w.r.t. ground (c) will move but will be stationary w.r.t. ground (d) will move but , will be stationary w.r.t. ground
question_answer22) If g is the acceleration due to gravity at the surface of the earth, then the energy required to launch a satellite of mass m from the surface of the earth into a circular orbit at an altitude of 2 R where R being the radius of the earth, is (a) (b) (c) (d)
question_answer23) A cubical wooden block of side 10 cm floats at the interface between oil and water with its lower face 2 cm below the interface. If the density foil is the mass of the block is (a) 200 g (b) 340 g (c) 480 g (d) 680 g
question_answer24) Springs of constants k, 2k, 4k, 8 k,...2048 k are connected in series. A mass is attached to one end and the system is allowed to oscillate. The time period is approximately (a) (b) (c) (d)
question_answer25) A source of sound emitting a note of constant frequency is moving towards a stationary listener, and then recedes from the listener with constant velocity maintained throughout the motion. The frequency head by the listener (f) when plotted against time (f) will give one of the following curve(s)
question_answer26) A system is taken from state A to state B along two different paths 1 and 2. The work done on the system along these two paths are and, respectively. The heat absorbed by the system along these two paths are and , respectively. The internal energies at A and B are and respectively. Then, (a) (b) (c) (d)
question_answer27) Equal charges q are placed at the four corners A,B,C,D of a square of side a. The magnitude of the force on the charge at C will be (a) (b) (c) (d
question_answer28) In the circuit shown in figure, the current through (a) the resistor is 0.50 A (b) the resistor is 0.25 A (c) the resistor is 0.50 A (d) the resistor is 0.25 A
question_answer29) A blue object on a white background when seen through a blue filter will appear (a) blue on a white background (b) black on a blue background (c) blue on a red background (d) invisible
question_answer30) A solid rubber ball of density and radius R falls vertically through air. Assume the air resistance on the ball is where k is a constant and v is the velocity. Because of this air resistance, the ball attains a constant velocity called terminal velocity after sometime, then is (a) (b) (c) (d)
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