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question_answer1) Two point masses, each of mass m, are placed at coordinates (a, 0) and (0, a). Where should a third point mass of mass 2m should be placed so that centre of mass of the entire system is at minimum distance from the origin? (a) (b) (c) (d)
question_answer2) A triangular wedge has a smooth inclined surface whose inclination from the horizontal is 30?. This wedge is moving with a constant acceleration of g/2 in the direction shown. A bob is tied up with a string of length I from the inclined surface and initially it is at the lowermost position. The minimum initial velocity that should be given to bob so that the string just becomes horizontal is (a) (b) (c) (d) none of the above
question_answer3) A projectile is projected at some angle from the horizontal in a vertical plane. The angular momentum of the projectile about the point of projection is proportional to , where t is time. Then n is equal to (a) 1/2 (b) 1 (c) (d) 2
question_answer4) Three charges q, q and - 2 q are fixed on the vertices of a horizontal equilateral triangular plate of side length 'a'. This plate is in stable equilibrium between two very large vertical plates having surface charge densities and, respectively. Find the time period of small angular oscillation about an axis passing through its centroid and perpendicular to its plane. [Moment of inertia of the system about this axis is I.] (a) (b) (c) (d)
question_answer5) A massless string of length , cross sectional area A and Young's modulus is tied up with a bob of mass m. The bob is moving with constant angular speed in a circular path of radius r (as shown). Find the elongationin the string assuming (a) (b) (c) (d)
question_answer6) A particle of mass m is released from a distance R from the centre of a uniform thin ring of mass m and radius R(which can move freely) on an axis passing through its centre and perpendicular to its plane. The speed of the particle when it reaches at the centre of the ring due to their mutual gravitational force is (a) (b) (c) (d) None of these
question_answer7) A real object of 2 cm length is placed upright at a distance of from a spherical mirror with its base on the principle axis. Its image is formed at distance 20 cm from it which is real, inverted and 4 cm in length. Find the focal length of the spherical mirror. (a) 30 cm (b) (c) 40 cm (d)
question_answer8) A resistor of resistance R, a capacitor of capacitance C and an inductor of inductance L are connected in parallel to an AC power source of voltage . The maximum current through the resistance is half of the maximum current through the power source. Then the value of R is (a) (b) (c) (d) None of the above
question_answer9) Consider a hypothetical universe in which the attraction between two masses and is given by F = G' sin r, where r is the separation between the two masses. Now, if is kept fixed and is carried from point 1 to 2 along three different paths a, b and c then (a) work done will be least along path b. (b) work done will be maximum along path c. (c) work done must be independent of path (d) work done must be dependent on path.
question_answer10) A cube of edge a is subjected to an unknown horizontal force as shown in the figure. The coefficient of friction is also unknown. The cube (a) must tip (b) must neither tip nor slip (c) may slip (d) must simultaneously tip and slip
question_answer11) A homogeneous chain of length 10 m lies on a table. What is the maximum length of the part of the chain hanging over the table if the coefficient of friction between the chain and table is 0.5 and the chain does not slip. (a) 1m (b) 3 m (c) 4 m (d) 3.33 m
question_answer12) A liquid flows with a velocity 1m/s along a pipe with cross-sectional area 1 cm2 bent through 90 degree. The density of the liquid is 1000 kg/m3. What force does the liquid apply on the pipe? (a) 14 N (b) 1.41 N (c) 0.141 N (d)
question_answer13) A tuning fork of frequency sounds above a cylindrical vessel 1 m high. Water is slowly poured into the vessel. At what level of water in the vessel will the sound of tuning fork be appreciably intensified. Velocity of sound in air is 330 m/s (Neglect end correction) (a) 38 cm (b) 26 cm (c) 12 cm (d) 13 cm
question_answer14) Focal length of a plano-convex lens is equal to the radius of curvature of its convex side. What is the refractive index of the material of its glass? (a) 1.33 (b) 1.5 (c) 2 (d) 2.5
question_answer15) Temperature of a tungsten filament is 2500 K inside an incandescent bulb. Assuming that the bulb consumes a power of 50 W, the surface area of the filament is(assume emissivity for the filament as 1) (a) (b) (c) (d)
question_answer16) Effective resistance between points A and B in the shown circuit is (a) R (b) 2R (c) R/2 (d) R/3
question_answer17) On a P-T graph of an ideal gas (a) adiabatic process will be a straight line (b) isochoric process will be a straight line passing through the origin. (c) adiabatic curve will have a negative slope. (d) the slope of adiabatic curve will decrease with increase in T.
question_answer18) The reason the north pole of a bar magnet free to rotate points north is because (a) the south geographic pole of the earth is the earth's magnetic north pole. (b) the south geographic pole of the earth is the earth's magnetic south pole. (c) there is a net accumulation of negative magnetic charge at the earth's south geographic pole. (d) there is a net accumulation of positive magnetic charge at the earth's north geographic pole.
question_answer19) When you look at a single slit diffraction pattern produced on a screen by light of a single wavelength, you see a bright central maximum and a number of maxima on either side, their intensity decreasing with distance from the central maximum. If the wavelength of the light is increased (a) the pattern shrinks in size. (central maximum less wide; other maxima in closer to it) (b) the pattern increases in size. (central maximum wider; other maxima farther from it) (c) it does not affect the size of the pattern. (d) the width of the central maximum increases, but the other maximal do not change in position or width.
question_answer20) A thin string is replaced by another made of same material but half the diameter. How many times should the tension of the string be changed to retain the previous frequency of oscillation? (a) increased 4 times (b) decreased 4 times (c) made double (d) made half
question_answer21) Three charged balls each having charge Q are connected by a thread to form an equilateral triangle of side a. The tension in each side of the triangle will be (a) (b) (c) (d)
question_answer22) In a X-ray tube if the energy of bombarding electrons is increased while keeping their number constant then (a) cut off wavelength will increase. (b) intensity of and will increase (c) cut off wavelength will decrease (d) heating of the target material will decrease.
question_answer23) In U238 preparation, a mass of 2.0 g emits 2.48 x 104alpha particles per second. The half-life of this nuclide is (a) 1.4 x 1017 sec (b) 1.4 x 1015 sec (c) 1.6 x 1018 sec (d) 1.6 x 1013 sec
question_answer24) A lamp, the resistance of whose filament in a heated state is is placed into a calorimeter containing a mixture of water and ice. In what time will the amount of water in the calorimeter increases by 80 gm if the lamp is connected to the mains with a voltage of 220 V. The latent heat of fusion of ice is 80 cal/gm (a) 1.7 seconds (b) 1 minute (c) 1.7 minutes (d) 2 minutes
question_answer25) If the pressure inside a ventilated room remains constantan the temperature is increased then (a) total kinetic energy of all the molecules in the room will increase. (b) total kinetic energy of all the molecules in the room will remain unchanged. (c) total kinetic energy of all the molecules in the room would decrease. (d) total kinetic energy of all the molecules in die room may increase or decrease depending on the temperature.
question_answer26) Heat is generated at the centre of a spherical black body at a rate of Q joules/sec. If R is the radius of the sphere and To is the ambient temperature and assumed that heat is transferred from the surface of the sphere to the surrounding only through radiation then(a) In the steady state temperature of the surface of the sphere is given by (b) In the steady state, temperature at a distance r from the centre is given by (c) If the difference between surface temperature and ambient temperature is small then heat loss will be proportional to the fourth power of temperature difference. (d) If the temperature difference between surface and ambient temperature is very large then heat loss will be proportional to almost 6th power of the surface temperature.
question_answer27) The helical trajectory of a charged particle having mass m and charge + q is given as Then choose the incorrect option regarding magnetic field vector (a) the pitch of the trajectory is (b) the speed of the particle is (c) the magnetic field must be directed along + z axis. (d) the magnitude of magnetic field must be
question_answer28) A gas has undergone a thermodynamic cyclic process as shown in the figure. The process when the gas is moved from A to B is (a) heat is absorbed by the system (b) heat is rejected by the system (c) neither A or B (d) insufficient data
question_answer29) The D.C. current gain of a transistor in CB configuration is0.99. Find its D.C. current gain in CE configuration? (a) 99 (b) 400 (c) 300 (d) 50
question_answer30) Which type of popular modulation is employed in India for radio Transmission now a days? (a) Pulse Modulation (b) Frequency Modulation (c) Amplitude Modulation (d) None of the above
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