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question_answer1) A car starting from rest, accelerates at constant rate for some time after which it decelerates at constant rate to come to rest. If the total time of journey is t, the maximum velocity attained by the car is given by (a) (b) (c) (d)
question_answer2) Rain is falling vertically with a speed of. After some time, wind starts blowing with a speed of in the north to south direction. In order to protect himself from rain, a man standing on ground should hold his umbrella at an angle given by (a) with the vertical towards South (b) with the vertical towards North (c) with the vertical towards South (d) with the vertical towards North
question_answer3) Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to block of mass M as shown in the figure. The magnitude of force P is (a) (b) (c) (d)
question_answer4) A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H shaped body. The body is allowed to fall from rest to position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical? (a) (b) (c) (d)
question_answer5) A wooden ball of density D is immersed in water of density d to a depth h below the uppermost surface of water and then released. Up to what height will the ball jump out of water? (a) (b) (c) (d) Zero
question_answer6) Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative. (a) and (b) and (c) (d)
question_answer7) A parallel plate capacitor of capacity F is charged by a battery of 50 volts. The battery remains connected and if the plates of the capacitor are separated, so that the distance between them becomes double the original distance, the additional energy given to the battery of the capacitor in joules is (a) (b) (c) (d)
question_answer8) The ratio of the resistance of conductor at temperature 15?C to its resistance at temperature 37.5?C is 4:5. The temperature coefficient of resistance of the conductor is (a) (b) (c) (d)
question_answer9) The work functions for metal A,B and C are 1.92 eV, 2.0 eV and 5 eV respectively. According to Einstein's equation, the metals which will emit photoelectrons for a radiation of wavelength is/are (a) only A (b) A and B (c) All the three metals (d) None of these
question_answer10) After 1 a and 2 -emissions (a) mass number reduces by 6 (b) mass number reduces by 4 (c) mass number reduces by 2 (d) mass number remains unchanged
question_answer11) If the input and output resistances in a common-base amplifier circuit are and respectively. What is the voltage amplification when the emitter current is 2 m A and current gain, ? (a) 9.8 (b) 98 (c) 980 (d) 9800
question_answer12) A ball is projected vertically upwards from the top of a tower of height 35 m with an initial velocity . How much time will it take to reach the ground? (take g =10 ms-2) (a) 1s (b) 7 s (c) 5 s (d) 3 s
question_answer13) A monkey climbs up and another monkey moving down a rope hanging from a tree with some uniform acceleration separately. If the respective masses of monkey are in the ratio2 : 3, the common acceleration must be (a) (b) (c) (d)
question_answer14) A simple pendulum of length is moved aside till the string makes an angle , with the vertical. If the acceleration due to gravity is g, the kinetic energy of the bob when the string is inclined at to the vertical is (a) (b) (c) (d)
question_answer15) A rigid body rotates about a fixed axis with variable angular velocity equal to at time t where, and are constants. The angle through which it rotates before it comes to rest is (a) (b) (c) (d)
question_answer16) If a rocket is fixed with a speed, near the earth's surface and coasts upwards, its speed in the interstellar space is (a) (b) (c) (d)
question_answer17) A beaker full of hot water is kept in a room. If it cools from 80?C to 75?C in min, from 75?Cto 70?C in la min and from 70?C to 65?C in ^3 min, then (a) (b) (c) (d)
question_answer18) A particle of mass 2 kg is moving along X-axis with a velocity of 5 m/s. It crosses the origin at t =0.A time-varying force whose variation is as shown in the figure starts acting on particle at . For this situation, mark out the correct statement(s). (a) The particle will come to rest instantaneously, at t = 6.8 s. (b) The final velocity of the particle will be 18m/s, (c) Work done by the force on the particle is 375 J. (d) All of the above
question_answer19) A solid sphere of radius R, made up of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A mass less piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is (a) (b) (c) (d)
question_answer20) If the gravitational force had varied as instead of , the potential energy of a particle at a distance from the centre of the earth would be proportional to (a) (b) (c) (d)
question_answer21) The Zener diode normally operates under reverse bias condition, the major use of this fact is in the applications where, we require (a) large value of current (b) a constant voltage (c) a current that is increasing without any change in applied voltage (d) All of the above
question_answer22) For a hydrogen like atom, if electron moves from lower energy level to higher energy levels, then which of the following statement is correct? (a) KE and PE both increases (b) KE and PE both decreases (c) KE increases while PE decreases (d) KE decreases while PE increases
question_answer23) The displacement, of a particle as a function of time t is shown in the figure. The figure indicates (a) the particle starts with a certain velocity, but the motion is related, finally the particle stops (b) the velocity of the particle is constant throughout (c) the acceleration of the particle is constant throughout (d) the particle starts with certain velocity and then its motion is accelerated
question_answer24) A solid cylinder is performing pure rolling motion on a moving platform as shown. Which of the relation between, and is correct? (a) (b) (c) (d)
question_answer25) In the circuit shown, the current in resistor is (a) 1 A (b) (c) (d) Information insufficient
question_answer26) An elliptical cavity is curved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure below. (a) electirc field near A in the cavity = electric field near B in the cavity (b) charge density at A = charge density at B (c) potential at A = potential at B (d) None of the above
question_answer27) In a hydroelectric installation, a turbine delivers 1500 HP to a generator, which in turn converts 80% of the mechanical energy into electrical energy. Under these conditions what current does the generator delivers at a terminal potential difference of 2000 V? (a) 447.6 A (b) 559.5 A (c) 4A (d) 800 A
question_answer28) A student in a hot air balloon ascends vertically at constant speed. Consider the following four forces that arise in this situation : The weight of the hot air balloon : The weight of the student The force of the student pulling on the earth : The force of the hot air balloon pulling on the student Which of the following relationships concerning the forces or their magnitudes is true? (a) (b) (c) (d)
question_answer29) There are some passengers in a stationary railway compartment. The centre of mass of compartment itself (without passengers) is while centre of mass of compartment plus the passengers is . If the passengers move inside the compartment [The surface on which compartment is at rest is smooth] (a) both and will move w.r.t. ground (b) neither nor will move w.r.t. ground (c) will move but will remain stationary w.r.t. the ground (d) will move but will remain stationary w.r.t. the ground
question_answer30) A chain of mass m and length lies on the surface of a rough sphere of radius such that one end of chain is at the top most point of sphere. The chain is held at rest because of friction. The gravitational potential energy of the chain in this position (considering the horizontal diameter of sphere as reference level for gravitational potential energy), is (a) (b) (c) (d) None of these
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