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question_answer1) There is a locomotive having mass M (except wheels) standing on the very rough rails. It has n pairs of wheels each of mass m, radius R and moment of inertia I. The axle are frictionless and mass less. The force required in the horizontal direction to move the locomotive with an initial acceleration 'a' is (a) (b) (c) (d)
question_answer2) In the circuit shown below, what will be the reading of the 3rd voltmeter and the ammeter? (a) 800 V, 2A (b) 300V,2A (c) 220V,2.2A (d) 100 V, 2A
question_answer3) A ball of mass m is projected from a point P on the ground as shown in the figure. It hits a fixed vertical wall at a distance L from P. Choose the most appropriate option (a) The ball will return to the point P only if half of the horizontal range. (b) The ball will return to the point P if half of the horizontal range. (c) The ball cannot return to the initial point if half of the range. (d) The ball will return to the initial point, if the collision elastic and half of the range.
question_answer4) Lower surface of a plank is rough and lies over a rough horizontal surface. Upper surface of the plank is smooth and has a smooth hemisphere placed over it through a light string as shown. After the string is burnt trajectory of C.M. of sphere is (a) circle (b) ellipse (c) straight line (d) none of these
question_answer5) Four resistors are connected in a square formation. Two batteries of emf, E and 2E are connected along the diagonals as shown in the figure. The current flowing in the resistor is (a) (b) (c) (d)
question_answer6) A metal oxide follows the relation whereis potential drop across the oxide and is current through it. If heat produced in resistor and metal oxide is same then value of R is (a) (b) (c) (d)
question_answer7) A circuit is connected as shown with the switch S open. When the switch is closed, the amount of charge that flows from X to Y is (a) 0 (b) (c) (d)
question_answer8) Two infinitely long line charge of same linear charge density are arranged as shown in figure. The magnitude of electric field intensity at point P as shown in figure. (a) (b) (c) (d)
question_answer9) The circuit shown in the figure consists of a battery of emf E, resistancesand , inductance L and a two way switch ABC. First A is connected to B for a long time and then A is connected to C. The total heat produced in is (a) (b) (c) (d)
question_answer10) A cylindrical region of uniform magnetic field exists perpendicular to plane of paper which is increasing at a constant rate The diameter of cylindrical region is . A non-conducting rigid rod of length having two charged particles is kept fixed on the diameter of cylindrical region w.r.t. inertial frame. If two charged particles having charges each is kept fixed at the ends of the non-conducting rod. The Electric force on any one of the charge is (a) (b) (c) zero (d)
question_answer11) A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15 m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic). (a) 1kg (b) 1.414kg (c) 2 kg (d) 10 kg
question_answer12) Which one of the following cannot be explained on the basis of Bernoulli's theorem? (a) Blowing off of light roofs when strong winds blow (b) Curved path followed by a spinning ball (c) Working of an atomizer (d) Rise of liquid through a capillary
question_answer13) A formula is given as where P = pressure k = Boltzmann's constant = Temperature t = Time andare constants. Dimensional formula of 'b' is same as (a) Force (b) Linear momentum (c) Angular momentum (d) Torque
question_answer14) A planet moves around Sun in an elliptical orbit of eccentricity e. The ratio of the velocity at perigee and at apogee is given by (a) (b) (c) (d)
question_answer15) The density versus temperature (T) graph of an ideal gas undergoing a process AB is as shown in the figure. Choose the incorrect option (a) (b) (c)is positive (d)
question_answer16) A body cools from 85?C to 80?C in 10 minutes, when the temperature of the surrounding is 32.5?C. How much time will it take to cool down by the same amount (i.e. from 85?C to 80?C) if the temperature of the surroundings is 57.5?C? Assume that Newton's law of cooling is valid. (a) 20 min (b) 5 min (c) min (d) 40 min
question_answer17) The acceleration time graph of a particle is shown in the figure. What is the velocity of particle at t = 8s, if initial velocity of particle is 3 m/s? (a) 4 m/s (b) 5 m/s (c) 6 m/s (d) 7 m/s
question_answer18) Velocity of a particle at any instant is given by the equation m/s, and radius of the curvature of the path is 2 m. Centripetal acceleration of the particle at t = 2 s is (a) 80 m/s2 (b) 160 m/s2 (c) 40 m/s2 (d) 100 m/s2
question_answer19) A particle of mass m is placed on the top of a smooth hemisphere of mass M. The hemisphere is placed on smooth ground. The particle is displaced gently. Then ratio of magnitude of normal reaction and pseudo force (seen from the hemisphere-frame) acting on the particle as a function of angle is given by (see figure). (Assume that the particle remains in contact with the hemisphere) (a) (b) (c) (d)
question_answer20) In the figure, there is a conducting wire having current i and which has a shape of half ellipseis kept in a uniform magnetic field B as shown. If the mass of wire is m, the acceleration of wire just after it is released in the external magnetic field will be (a) (b) (c) (d)
question_answer21) In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are. The magnetic field at the centre of rings will be (a) zero (b) (c) (d)
question_answer22) Moseley's law for characteristic - X-rays is In this (a) both a and b are independent of the material (b) a is independent but b depends on the material (c)b is independent but a depends on the material (d) both a and b depend on the material.
question_answer23) The wavelength of the first line of Lyman series for hydrogen is identical to that of the second line of Balmer series for some hydrogen-like ion X. The energy of ground state of X is (given: Ground state binding energy of hydrogen atom13.6 eV). (a) -13.6 eV (b) -6.04 eV (c) -54.4 eV (d) none of these
question_answer24) A point object O is placed between two plane mirrors as shown in figure. If object is moved towards with speed u then relative speed between first images of and is (a) zero (b) u (c) (d) 2u
question_answer25) The refractive indices for violet and red colour are 1.54and 1.52 respectively, the angular dispersion of a prism of angle 20? and made of such glass will be (a) 0.4? (b) 0.2? (c) 3.06? (d) 30.6?
question_answer26) A plane transverse harmonic wave travels through a medium. The maximum particle velocity equals the wave velocity. Then (a) (b) (c) (d) none of the above
question_answer27) In the case of beats, the amplitude varies at a frequency equal to (a) average frequency of the two interfering sound wave (b) twice the frequency difference of the two interfering sound wave (c) the frequency difference of the two interfering sound waves (d) half of the difference of frequency of the two interfering sound wave.
question_answer28) The K.E. of a body moving along a straight line varies with time as shown in the figure. The force acting on the body is (a) zero (b) constant (c) directly proportional to velocity (d) Inversely proportional to velocity
question_answer29) In an astronomical telescope under normal adjustments to get magnification 7 with tube length 40 cm, the focal lengths of eye-piece and objective lenses are (a) 5 cm, 35 cm (b) 25 cm, 35 cm (c) 15 cm, 25 cm (d) 5 cm, 10 cm
question_answer30) Silicon is a semiconductor. On adding a small quantity of arsenic to it its conductivity (a) increases (b) decreases (c) remains the same (d) becomes zero
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