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1 PHYSICS 1. If Q be the amount of liquid (iscosity ) flowing per second through a capillary tube of radius r and length l under a pressure difference P, then which of the following relation is correct? Pr 4 Pl 4 8 l 8 r 5 Pr 8 l none of these. The unit of (elocity) is equialent to the unit of ) (force) latent heat energy heat capacity 3. Figure shows the elocity time graphs of the two particles and B. Which of the following statements is true their relatie elocity is zero their relatie elocity is the function of time if they starting from the same point they will neer meet again both and t B 4. man walks in rain with a elocity of 5 km/hr. The rain drops strike at him at an angle of with the horizontal. The downward elocity of the rain drops will be 5 km/hr 4 km/hr 3 km/hr 1 km/hr 5. particle is projected with 0 m/sec making an, angle with the horizontal the magnitude of the elocity of the particle at time t = 1 sec. after projection 5 m/sec 0 m/sec 0 m/sec 10 m/sec 6. particle is moing along the circular path with a speed and speed start increasing uniformly with acceleration a then net acceleration of the particle at the initial moment r a r a r a 7. The shortest time oer which a car can be brought to rest by applying brakes is 10 second. If its speed is made two times, the car can be brought to rest in time t equal to 10 sec 15 sec 0 sec 5 sec 8. Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a frictionless horizontal surface as shown in figure. If we apply a force of 5N on 6 kg and another force of 5N on 4 kg in opposite direction. The contact force between 5N 4 kg 6 kg 5N
2 4 kg and 6 kg block is 5N N 4N zero 9. block of mass 5 kg is kept at rest on a smooth horizontal plane. force of 10 N act on the block as shown in figure till its speed becomes 0 m/sec. Find the work done by this force during this time 500 Joule 1000 Joule 50 Joule 300 Joule 5 kg F F = heay block of mass m is slowly placed on a coneyer belt moing with a speed V. The coefficient of friction between the block and belt is. Through what distance will the block slide on the belt / g g 11. fireman of mass 50 kg is holding a ertical pole. The coefficient of static friction between his hands and the pole is 0.5. If he is able to climb up the pole what is the minimum force with which he should press the pole with his hand 1000 N 500 N 50 N 350 N 1. trolley of mass 100 kg is moing with 0 m/sec, sand is poured into it at the rate of 60 kg per minute. How much force is required to keep it moing with same speed 0 N 10 N zero 5 N 13. body falls freely under graity. Its elocity is V when it has lost potential energy equal to u. What is the mass of the body u / V u / V u / V u / V 14. rod of mass m and length L is lying on a horizontal table. The work done in rising its one end L / mgl / mgl from the horizontal is g g mgl mgl If the coefficient of restitution be 0.5 what is the percentage loss of energy on each rebounding of a ball dropped from a height 1.5% 5% 50% 75%
3 16. Two man are carrying a uniform bar of length L, on their shoulders. The bar is held horizontally such that younger man gets one-third load. Suppose the younger man is at the end of the bar, what is the distance of the other man from that end L/3 L/ L/3 3L/4 17. Two uniform thin identical rods each of mass M and length L are joined together to form a L shape, if this system is rotated about Z- axis as shown in figure then the moment of inertia of the system is ML ML 3 1 ML 3 ML 4 X 18. What is the maximum speed at which a car can turn round a cure of 30 m radius on a leel road if the coefficient of friction between the tyres and the road is 0.4 and g = 10 m/sec 5 m/sec 11 m/sec 17 m/sec 1 m/sec 19. body is moing along a circular path with constant speed. Which of the following statement about its motion is true the body is in equilibrium no work is done on the body the tangential acceleration is not zero the elocity of the body is constant 0. The mass of a planet is double the mass of earth and its radius is half as compared to that of the earth the acceleration due to graity at the planet is. (ssuming g = 10 m/sec on earth surface) 40 m/sec 0 m/sec 10 m/sec 80 m/sec 1. satellite of mass m is orbiting around the earth at a height equal to the radius of the earth () from the earth surface. Its potential energy is gien by mg mg mg mg 4. projectile is fired making angle with the ertical. What is the ratio of potential energy to the kinetic energy of the projectile at the highest points of its path? sin cos cot tan 3. rifle bullet loses 1/0 th of its elocity in passing through a plank. The least number of such planks required just to stop the bullet is n iron bar of length L and area of cross-section is heated from 0 0 C to 80 0 C. The bar is held between two rigid supports. It the stress deeloped in the bar be S, then S is independent of and L S 1/L S S 1/ Z Y
4 5. long string is stretched by 0. cm. The energy stored per unit olume is 0.5 J/m 3. If it is stretched by 1.0 cm, the potential energy/unit olume stored in it will be 0.01 J/m J/m J/m J/m 3 6. body floats in water with one fourth of its olume aboe the surface of water. If placed in oil it floats with one third of its olume aboe the surface of oil. The specific graity of the oil is /3 3/4 4/3 9/8 7. Liquid flows through a horizontal tube of ariable diameter. The pressure is maximum where elocity is minimum elocity is maximum diameter is maximum both elocity and diameter are maximum 8. Figure shows a capillary tube dipped in a liquid of surface tension T. Which rises in it. If the radius of the tube be r and be the angle of contact then pressure difference between the points and B is T T cos cos r r B Tr cos T r cos 9. wooden cube floats in water with cm of it aboe the water leel. When a 00 g mass is placed on the cube, it just submerges in water. The length of each side of the cube is 6 cm 8 cm 10 cm 1 cm 30. For the hydrogen gas C P /C V is equal to a and for oxygen gas C P /C V is equal to b, the ratio of a and b is One mole of an ideal gas requires 07 Joule heat to rise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant olume to raise the temperature by the same 10 K the heat required is (Gien the gas constant = 8.3 J/mol K) J 9 J 15.3 J 14 J 3. sample of ideal monoatomic gas taken round the cycle BC as shown in figure. The work done during the cycle is PV PV P V P p P B C V V 33. perfect black body emits radiation at temperature T 1 0 K. If it is to radiate 16 time the preious radiation. Its temperature T will be T = T 1 T = 16T 1
5 T = 4T 1 T = 3T gas is compressed at a constant pressure of 50 N/m from a olume of 10m 3 to a olume of 4m 3. Energy of 100 Joule is then added to the gas by heating. Its internal energy is increased by 400 J increased by 00 J increased by 100 J decreased by 00 J 35. Steam is passed into g of water at 0 0 C. The mass of water that will be present when the water acquires a temperature of 90 0 C (Lalent heat of steam is 540 cal/g) is 4.8 g 4 g 36.6 g 30.0 g 36. One glass of milk gies a boy 5000 calories. How much height he can climb by using this energy, if his efficiency is 8%? (mass of boy is 60 kg).5 m 5 m 10 m 15 m 37. The rates of cooling of two identical liquids put in exactly similar calorimeters and kept in identical surroundings are the same if the masses of the liquid are equal equal masses of the liquids at the same temperature are taken. different olumes of the liquids equal olumes of the liquids at the same temperature are taken. 38. The kinetic energy of one gram molecule of a gas at normal temperature and pressure is ( = 8.31 J/mole k) J J.7 10 J J 39. The length and radii of two rods made of same material are in the ratio 1 : and : 3 respectiely. If the temperature difference between the ends for the two rod be same, then in the steady state the amount of heat flowing per second through them will be in the ratio 1 : 3 4 : 3 8 : 9 3 : 40. The distance between two points differing in phase by 60 0 on a wae elocity 360 m/sec and frequency 500 HZ is 4 cm 1 cm 6 cm 1 cm 41. Transerse waes are generated in two uniform wires and B of the same material by attaching their free ends to a ibrating source of frequency 00 HZ. The cross-section of is twice that of B. The ratio of waelengths of the transerse waes in and B is 1 : : 1 1 : : 1 4. n n-p-n transistor is biased to work as an amplifier. Which of the following statements is not correct? the electrons go from base region to collector region. the electrons go from emitter region to base region. the electrons go from collector region to base region.
6 the holes go from base region to emitter region. 43. n electric dipole, consisting of two opposite charges of 10-6 coulomb each separated by a distance of 3 cm is placed in an electric field of 10-5 Newton / coulmb. The maximum torque in the dipole is Nm Nm Nm Nm 44. In a shunted ammeter, only 10% of current passes through the galanometer. If the resistance of the coil is G the resistance of shunt is 9 G G /9 G/10 10 G 45. uniform wire of resistance 0 ohm haing resistance 1 /m is bent in the form of a circle as shown in figure. If the equialent resistance between P and Q is 1.8 then the length of the shorter section is P m 5 m 1.8 m 18 m Q 46. In the gien figure the ammeter reads zero. What is the alue of resistance V 500 V 47. Two particles X and Y haing equal charges, after being accelerated through the same potential differences enter a region of uniform magnetic field and describe circular paths of radii 1 and respectiely. The ratio of the mass of X to that of Y is 1 1 1/ 1 1 1/ 48. In the gien figure, what will be the reading of the oltmeter? 00 V 900 V 150 V zero V 100 V 100 V 00 V 100HZ 49. In young s double slit experiment, carried out with light of waelength = , the distance between the slits is 0. mm and the screen is at 00 cm from the slits. The central maximum at x = 0. The third maxima will be at distance x from central maxima then x is 1.67 cm 1.5 cm 0.5 cm 5.0 cm
7 50. ray of light incident normally on an isosceles right angled prism traels as shown in the figure. The least alue of the refractie index of the prism must be
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