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question_answer1) Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is (a) (b) (c) 0.5 N (d) 1.5N
question_answer2) A uniform metal disc of radius R is taken and out of it a disc of diameter R/2 is cut-off from the end. The centre of mass of the remaining part will be (a) from the centre (b) from the centre (c) from the centre (d)from the centre
question_answer3) A tank is filled with water of density 1 g/cm3and oil of density 0.9 g/cm3. The height of water layer is 100 cm and of the oil layer is 400 cm. lf g=980 cm/s2, then the velocity of efflux from an opening in the bottom of the tank is (a) (b) (c) (d)
question_answer4) A charge is divided into two parts q and q' and separated by a distance R. The force of repulsion between them will be maximum, when (a) (b) (c) (d) None of these
question_answer5) A parallel plate capacitor has plates with area A and separation between it is d. A battery charges the plates to a potential differenceThe battery is then disconnected and a dielectric slab of thickness d is introduced. The ratio of energy stored in the capacitor before and after the slab is introduced is (a) K (b) (c) (d)
question_answer6) You are given n resistors, each of resistance r. They are first combined to get minimum possible resistance, then they are connected to get maximum possible resistance. The ratio between minimum to maximum resistances is (a) (b) (c) (d)
question_answer7) A rectangular coil of 100 turns and size is placed perpendicular to a magnetic field of 0.1 T. The induced when the field drops to 0.05 T is 0.05 s is (a) 0.5V (b) 1.0V (c) 1.5V (d) 2.0V
question_answer8) A bomb is dropped from an aeroplane when it is at a height h directly above the target. If the aeroplane is moving horizontally at a speed v, the distance by which bomb will miss the target is given by (a) (b) (c) (d)
question_answer9) A block B is pushed momentarily along a horizontal surface with an initial velocity . If is the coefficient of sliding friction between B and the surface, block B will come to rest after a time (a) (b) (c) (d)
question_answer10) A machine which is 80% efficient, uses 20 J of energy in lifting up a 2 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (a) (b) (c) (d)
question_answer11) A cylinder of height h is placed on an inclined plane, the angle of inclination of which is slowly increased. It begins to slip when the angle of inclination is 45?. What is the radius of the cylinder? (a) h (b) (c) (d)
question_answer12) A person feels 2.5% difference of frequency of a motorcar horn. If the motorcar is moving to the person and the velocity of sound is 320 m/s, then the velocity of car will be (a) 8 m/s (approx) (b) 800 m/s (c) 7 m/s (d) 6 m/s (approx)
question_answer13) Two concentric spheres of radii R and r have similar charges with same surface charge densities . What is the electric potential at their common centre? (a) (b) (c) (d) None of these
question_answer14) A transformer is used to step-up an transformation of 220 V to 4.4 kV in order to transmit 6.6 kV of power. If the primary coil has 100 turns, what is the number of turns in the secondary? (a) 20 (b) 200 (c) 2000 (d) 20000
question_answer15) A body is projected vertically upwards. If and be the instants at which it is at a height h above the point of projection, while ascending and descending respectively, then (a) (b) (c) (d)
question_answer16) A particle of mass 4m at rest explodes into three fragments. Two of the fragments each of mass m move with speed v at right angles to each other. The kinetic energy released in the process is (a) (b) (c) (d)
question_answer17) In figure, if the surfaces are frictionless, the ratio is (a) (b) (c) 1 : 5 (d) 5 : 1
question_answer18) A chord is used to lower vertically a block of mass M a distance d at a constant downward acceleration of . Then, the work done by the chord on the block is (a) (b) (c) (d)
question_answer19) A bar of mass length is in pure translatory motion with its centre of mass velocity . It collides with and sticks to another identical bar at rest as shown in figure. Assuming that after collision it becomes one composite bar of length , the angular velocity of the composite bar will be (a) , anti-clockwise (b) anti-clockwise (c) clockwise (d) clockwise
question_answer20) An U tube of uniform bore of cross-sectional area A is set up vertically with open ends up. A liquid of mass M and density d is poured into it. The liquid column will oscillate with a period (a) (b) (c) (d)
question_answer21) In a ball, a person receives direct sound waves from a source 120 m away. He also receives wave from the same source which reach him after being reflected from one 25 m high ceiling at a point half-way between them. The two waves interfere constructively for wavelengths (in metre) of (a) (b) (c) 30, 20, 10, ? (d) 35, 25, 15, ?
question_answer22) A dip circle lying initially in the magnetic meridian is rotated through angle is the horizontal plane. The tangent of angle of dip is increased in the ratio (a) (b) (c) (d)
question_answer23) A rectangular coil of single turn, having area A, rotates in a uniform magnetic field B with an angular velocity about an axis perpendicular to the field. If initially the plane of the coil is perpendicular to the field, then the average induced when it has rotated through90?. is (a) (b) (c) (d)
question_answer24) A 60 W bulb is placed at a distance of 4 m from you. The bulb is emitting light of wavelength 600 nm uniformly in all directions. In 0.1 s, how many photons enter your eye if the pupil of the eye is having a diameter of 2 mm? [Take, hc =1240 eV-nm] (a) (b) (c) (d)
question_answer25) Two identical non-relativistic particles A and 6 move at right angles to each other, possessing de-Broglie wavelengths and respectively. The de-Broglie wavelength of each particle in their C frame of reference is (a) (b) (c) (d)
question_answer26) When the voltage applied to an X-rays tube increases from to , the wavelength interval between line and cut-off wavelength of continuous spectrum increases by a factor of 3. Atomic number of the metallic target is (a) 28 (b) 29 (c) 65 (d) 66
question_answer27) The binding energy of an electron in the ground state of He-atom is equal to .The energy required to remove both the electrons from the atom is (a) 24.6eV (b) 79.0 eV (c) 54.4 eV (d) None of these
question_answer28) A photosensitive material is at 9 m to the left of the origin and the source of light is at 7 m to the right of the origin along -axis. The photosensitive material and the source of light start from rest and moves with 8i m/s and 4i m/s respectively. The ratio of intensity at tos as received by the photosensitive material is (a) 16: 1 (b) 1 : 16 (c) 2 : 7 (d) 7 : 2
question_answer29) Hydrogen atoms in a sample are excited to states and it is found that photons of all possible wavelengths are present in emission spectra. The minimum number of hydrogen atoms in the sample would be (a) 5 (b) 6 (c) 10 (d) infinite
question_answer30) A parallel beam of light of intensity and frequencyis incident on a solid sphere of radius R as shown in the figure For this situation mark out the correct statement. (a) The force exerted by light on the sphere is the greatest when surface of sphere is perfectly reflecting and is equal to (b) The force exerted by light on the sphere is independent of the nature of surface, i.e..it is same for perfect reflector, perfect absorber, and is partially reflecting and for all it is equal to . (c) The force exerted by light on sphere is least when surface of the sphere a is perfect absorber, and is equal to . (d) Both (a) and (c) are correct.
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