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question_answer1) Two boys are standing at points and 100 metre apart. They start running towards each other with speeds of and respectively. After how much time and at what distance from point they will meet (a) 5 sec, 50 m (b) 3 sec, 50 m (c) 10 sec, 30 m (d) 10 sec, 740 m
question_answer2) A stone is thrown vertically upwards with speed. If the acceleration due the thrust force of air on stone is If time of ascent and time of descent then (a) (b) (c) (d) None of these
question_answer3) For the acceleration time graph as shown the correct velocity time graph is (assume motion is one dimensional and particle starts from rest
question_answer4) The velocityof the particle varies with displacement as Where a, b & c are constants. The a, b & c dimensions of (abc) are (a) (b) (c) (d)
question_answer5) The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is (a) 120? (b) 150? (c) 135? (d) none of these
question_answer6) A bomb of mass M at rest explodes into two fragments of masses and The total energy released in the explosion is E. If and represent the energies carried by masses and respectively, then which of the following is correct? (a) (b) (c) (d)
question_answer7) A weight suspended from the free end of a vertically hanging spring produces an extension of 3 cm. The spring is cut into two parts so that the length of longer part is of the original length. If the same weight is now suspended from the longer part of the spring, the extension produced will be (a) 0.1 cm (b) 0.5 cm (c) 1 cm (d) 2 cm
question_answer8) A 5 kg brick of dimensions is lying on the largest base. It is now made to stand with length vertical. If then the amount of work done is (a) (b) (c) (d)
question_answer9) A uniform chain of length L and mass M overhangs a horizontal table with its two third part on the table. The friction coefficient between the table and the chain is The work done by the friction during the period the chain slips off the table is (a) (b) (c) (d)
question_answer10) The kinetic energy of particle moving along a circle of radius depends upon the distance covered and is given by where a is a constant. Then the centripetal force acting on the particle is (a) (b) (c) (d)
question_answer11) The value of reduced mass of two masses is (a) Equal to the means mass (b) More then the mean mass (c) Less than each of the masses (d) More than each of the masses
question_answer12) A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown in fig. It hits a ridge at point The angular speed of the block after it hits is (a) (b) (c) (d) zero
question_answer13) A rod of mass and length is bent in the form of arc of a circle as shown in figure. Moment of inertia of rod about the axis passing through centre and perpendicular to its plane is (a) (b) (c) (d)
question_answer14) A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of the fraction of volume immersed in the liquid will be (a) 1/2 (b)3/8 (c)2/3 (d) 3/
question_answer15) The ratio of densities of the two bodies is 5 : 6 and specific heat in the ratio 3:5. The ratio of their thermal capacities for unit volume is (a) 25 : 18 (b) 1 : 2 (c) 2 : 1 (d) 1 : 1
question_answer16) If 70 cal of heat is required to raise the temperature of 2 mol of an ideal gas at constant pressure from 30?C to 35?C, calculate the number of degrees of freedom of gas. (a) (b) (c) (d)
question_answer17) A planet of mass m is revolving round the sun (of mass in an elliptical orbit. If is the velocity of the planet when its position vector from the sun is , then areal velocity of the planet is (a) (b) (c) (d)
question_answer18) A cord of mass m, length L, area of cross-section A and Young's modulus Y is hanging from a ceiling with the help of a rigid support. The elongation developed in the wire due to its own weight is (a) Zero (b) (c) (d)
question_answer19) A soup bowl rests on a table in the dining car of SHATABDI Express. If the train is accelerating uniformly at rate of in the forward direction, the angle made by the surface of the soup contained in the bowl with the horizontal is (a) (b) (c) (d)
question_answer20) Two spheres of same size are made of the same material but one is solid and the other is hollow. They are heated to the same temperature. (a) Both spheres expand equally (b) The solid sphere expands more (c) The hollow sphere expands more (d) Data is insufficient to arrive at a conclusion
question_answer21) The coefficient of linear expansion for a certain metal varies with temperature as If is the initial length of the metal and the temperature of metal is changed from to Then, (a) (b) (c) (d)
question_answer22) A body cools from toin Assuming temperature of surroundings to be 30?C and Newton's law of cooling to be valid, the time it will take to cool from to is (a) (b) (c) (d)
question_answer23) A cylindrical metal rod of length is shaped into a ring with a small gap as shown. On heating the system (a) decreases, and increase (b) and increase, decreases (c) and all increase (d) Data insufficient to arrive at a conclusion
question_answer24) A particle of mass is attached to four springs each of unstretched length as shown. Initial tension in each spring The period of small oscillations of the particle along a line perpendicular to the plane containing the springs is (Neglect effect of gravity and assume that the force developed in springs due to displacement is much smaller than the original tension (a) (b) (c) (d)
question_answer25) Two harmonic waves travelling in the same medium have frequency in the ratio 1: 2 and intensity in the ratio 1: 36. Their amplitude ratio is (a) 1 : 6 (b) 1 : 8 (c) 1:72 (d) 1 : 3
question_answer26) At a transverse wave pulse in a wire is described by the function whereand are in metre. The function that describes this wave equation if it is travelling in the positive x direction with a speed of 4.5 is (a) (b) (c) (d)
question_answer27) A string of length obeying Hooke's Law, is stretched so that its extension is The speed of the transverse wave travelling on the string is v. If the string is further stretched so that the extension in the string becomes The speed of transverse wave travelling on the string will be (a) (b) (c) (d)
question_answer28) A sound wave propagates in a medium of Bulk's modulus B by means of compressions and rarefactions. If and are the pressures at compression and rarefaction respectively, a be the wave amplitude and k be the angular wave number then choose the incorrect option (a) is maximum and is minimum. (b) is minimum and is maximum. (c) The pressure amplitude is Bak. (d) If the displacement wave is pressure wave at any instant is represented as which leads displacement wave by a phase angle of
question_answer29) A train moves towards stationary observer withThe train sounds a whistle and its frequency registered by the observer is If the train's speed is reduced to the frequency registered is If the speed of sound is then the ratio is (a) (b) (c) 2 (d)
question_answer30) A pendulum has a period T for small oscillations. An obstacle is placed directly below the pivot, so that only the lowest one fourth of the string can follow the pendulum bob when it swings to the right of its resting position as shown. The pendulum is released from rest at a certain point. Assuming that the angle between the moving string and the vertical stays small throughout the moving string and the vertical stays small throughout the motion, the time it takes to return to that point is (a) (b) (c) (d)
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