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question_answer1) One mole of an ideal gas with molar heat capacity 4 R undergoes a process in which work done by gas for small change in temperature is given by the relation . Then, the ratio is (a) 7/5 (b) 5/3 (c) 3/2 (d) 2
question_answer2) An irregular rod of same uniform material as shown in figure, is conducting at a steady rate. The temperature gradient at various sections versus area of cross-section graph will be
question_answer3) Velocity v(m/s) versus time graph of a cyclist moving along the x-axis is shown below from time to s The average velocity and the average speed on the cyclist during this time interval are(in m/s) (a) (b) (c) (d)
question_answer4) A rod of mass M and length stands along axis. Its lower end is hinged at the centre of a disc of same mass M and radius R. The whole arrangement is rotating freely about axis with an angular velocity . The rod falls on disc and rotates with disc. Find the angular speed of the arrangement (a) (b) (c) (d)
question_answer5) A particle is moving in a force field given by. Starting from A the particle has to reach C either along ABC or ADC. Let the work done along the two paths be and , respectively. Then, are (a) (-1, 1) (b) (-1, 0) (c) (1, 1) (d) (-1,-1)
question_answer6) An electron in hypothetical hydrogen atom is in its 3rd excited state and makes transition from 3rd to 2nd excited state, then to 1st excited state and then to ground state. If the amount of time spent by the electron in any state of quantum number n, is proportional to, then the ratio of number of revolutions completed by the electron in 1st excited state to that in the 2nd excited state will be (a) 2 (b) (c) (d)
question_answer7) Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limits of for which total internal reflection cannot takes place on face AC is (a) (b) (c) (d)
question_answer8) A thin plano-convex glass lens has its plane surface silvered and R is the radius of curvature of curved part, then which of the following ray diagram is true for an object placed at O?
question_answer9) One slit in a YDSE set up is covered by a glass plate (Refractive index and other by another glass plate (Refractive index of same thickness. If is the intensity of light through each slit and is the wavelength of light, then intensity at point P is (P is symmetrical w.r.t. slits and ) (a) (b) (c) (d)
question_answer10) In the series L-C-R circuit, the voltmeter and ammeter readings are respectively (a) V = 100 V, l = 2 A (b) V = 1000 V, l = 5 A (c) V = 1000 V, l = 2 A (d) V = 300 V, l = 1 A
question_answer11) Two capacitors of capacitance and are charged to potentials and respectively and are then connected to an inductor of inductance Las shown in the figure. Initially key is open. Now key k is closed and current in the circuit starts increasing. When current in the circuit is maximum (a) charge on both the capacitors is same (b) induced emf in the inductor is zero (c) potential difference across both the capacitors is half of the induced emf (d) electrostatic potential energy stored in both the capacitors is same
question_answer12) Two straight long conductors AOB and COD are perpendicular to each other and carry currents and respectively. The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ABCD is (a) (b) (c) (d)
question_answer13) A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v=2.0 m/s in a uniform magnetic field B =4.0 T, direction into the paper. A capacitor of capacity is connected as shown in figure. Then, (a) and (b) and (c) (d) charge stored in the capacitor increases exponentially with time
question_answer14) The diagram shows a solenoid carrying a time varying current . On the axis of this solenoid a ring has been placed as shown in the figure at the right. The mutual inductance of the ring and the solenoid is M and the self-inductance of the ring is L. If the resistance of the ring is R, then maximum current which can flow through The ring is (a) (b) (c) (d)
question_answer15) A particle of mass and charge moves at a speed of. It enters a region of uniform magnetic field at a point E, as shown in figure. The field has a strength of 1.0T.The magnetic field is directed into the plane of the paper. The particle leaves the region of the field at the point F. Then distance EF and the angle will be (a) 15 cm and 55o (b) 15 cm and 45o (c) 14 cm and 45o (d) 15 cm and 55o
question_answer16) The resistance of hexagon circuit between A and B represented in figure is (a) r (b) 0.5 r (c) 2r (d) 3r
question_answer17) A 100 W bulb, and two 60 W bulbs and are connected to a 250 V source, as shown in the figure. Now and are the output powers of the bulbs and respectively. Then, (a) (b) (c) (d)
question_answer18) Speed of sound wave is v. If a reflector moves towards a stationary source emitting waves of frequency f with speed u, the frequency of reflected wave will be (a) (b) (c) (d)
question_answer19) A transverse wave is travelling along a string from left to right. The figure at the right represents the shape of the string at a given instant. At this instant, among the following choose the wrong statement. (a) Points D, E, F have upwards positive velocity (b) Points A, B, and H have downwards negative velocity (c) Points C and G have zero velocity (d) Points A and E have minimum velocity
question_answer20) A pendulum suspended from the roof of an elevator at rest has a time period , when the elevator moves up with an acceleration a, its time period becomes , when the elevator moves down with an acceleration a, its time period becomes , then (a) (b) (c) (d) None of these
question_answer21) If n identical drops of mercury are combined to form a bigger drop, then the capacity of bigger drop, if capacity of each drop of mercury C, is (a) (b) (c) (d)
question_answer22) An artificial satellite of mass m is moving in a circular orbit at a height h equal to radius of the earth from the earth's surface. Suddenly due to internal explosion, the satellite breaks into two parts of equal masses. One part of the satellite stops just after the explosion and then falls to the surface of the earth. The increase in mechanical energy of the system(satellite + earth) due to explosion will be (acceleration due to gravity on the earth's surface is g} (a) (b) (c) (d)
question_answer23) Directions The potential energy of a charged conductor or a capacitor is stored in electric field. The energy per unit volume is called the energy density (u). Energy density in a dielectric media is given by . This relation shows that the energy stored per unit volume depends on . If E is the electric field in a space of volume then total stored energy in an electrostatic field is given by and if E is uniform throughout the volume, then total energy stored can be given by . A charge is placed at the centre of a spherical conducting shell of radius R. Conducting shell has a total charge . Electrostatic potential energy of the system is (a) (b) (c) (d)
question_answer24) Directions The potential energy of a charged conductor or a capacitor is stored in electric field. The energy per unit volume is called the energy density (u). Energy density in a dielectric media is given by . This relation shows that the energy stored per unit volume depends on . If E is the electric field in a space of volume then total stored energy in an electrostatic field is given by and if E is uniform throughout the volume, then total energy stored can be given by . Let and represent the energy densities in air and in a dielectric respectively, for the same field in both. Let, K = dielectric constant, then (a) (b) (c) (d)
question_answer25) Directions The potential energy of a charged conductor or a capacitor is stored in electric field. The energy per unit volume is called the energy density (u). Energy density in a dielectric media is given by . This relation shows that the energy stored per unit volume depends on . If E is the electric field in a space of volume then total stored energy in an electrostatic field is given by and if E is uniform throughout the volume, then total energy stored can be given by . A parallel plate capacitor is connected to a battery. The plates are pulled apart with uniform speed. If is the separation between the plates, then the rate of change of electrostatic energy of the capacitor is proportional to (a) (b) (c) (d)
question_answer26) Directions Three identical cylinders of mass M each are stacked as shown. There are sufficient friction to avoid slipping at any contact. There is no compression between two bottom cylinders. The normal reaction and friction force between the top and a bottom cylinder are N and f respectively. The friction force between ground and a bottom cylinder is (a) (b) (c) (d) f
question_answer27) Directions Three identical cylinders of mass M each are stacked as shown. There are sufficient friction to avoid slipping at any contact. There is no compression between two bottom cylinders. The normal reaction and friction force between the top and a bottom cylinder are N and f respectively. The value of normal reaction N is (a) (b) (c) (d)
question_answer28) Directions Three identical cylinders of mass M each are stacked as shown. There are sufficient friction to avoid slipping at any contact. There is no compression between two bottom cylinders. The normal reaction and friction force between the top and a bottom cylinder are N and f respectively. The value of friction force f is (a) (b) (c) (d)
question_answer29) Statement I Inside an uniformly positive charged solid non-conducting sphere electric potential decreases from centre to surface. Statement II In the direction of electric field potential decreases. (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 As per law of conservation of momentum, the momentum can never change. Provided that force (external) acting on a body is zero. Statement II Momentum is quantity of motion possessed by a body so there is no question of its change. (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
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