Page 1 (1) Choose the correct answer : MM : 800 Regular Classroom Test - 9 Time : 3 Hrs. (REGULAR MEDICAL - 2011) Complete Syllabus of Class XI & XII 21/02/2011 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE- D 1. The position (x) of a body is changing with time (t) as x = t 2 â€“ 4t â€“ 2. Find the distance covered by body in 4 s (where x is in metres and t is in seconds) (1) 8 m (2) 4 m (3) 2 m (4) Zero 2. The maximum percentage error in mass of a spherical body is 0.04 and the maximum percentage error in radius is 0.01. Find the maximum percentage error in density of body (1) 0.07 (2) 0.01 (3) 0.03 (4) 0.04 3. Which of the following is not a unit of length? (1) angstrom (2) light yeara (3) parsec (4) curie 4. A body covers first 1/3 rd of journey with velocity v 1 , half of remaining part with velocity v 2 and rest part with velocity v 3 . The average velocity of journey is (1) 2 1 2 1 3 v v v v ? (2) 3 1 3 1 3 v v v v ? (3) 3 3 2 1 v v v ? ? (4) 1 3 3 2 2 1 3 2 1 3 v v v v v v v v v ? ? 5. Rain droplets are falling in vertically downward direction with velocity 5 m/s. A cyclist is moving in northward direction with velocity 10 m/s. The rain droplets will appear to the cyclist to be coming from (1) tan â€“1 (2) above south horizontal (2) ? ? ? ? ? ? ? 2 1 tan 1 above north horizontal (3) Vertically downward (4) tan â€“1 (2) above north norizontal 6. The vector sum of two vectors is perpendicular to the vector subtraction of these two vectors, then the vectors are (1) Mutually perpendicular (2) Having same magnitude (3) Equal vectors (4) Negative vectors 7. When an elevator is moving upward, the apparent weight of a body inside elevator (1) Will increase (2) Will decrease (3) Remains the same (4) May be any of these PHYSICS Page 2 (1) Choose the correct answer : MM : 800 Regular Classroom Test - 9 Time : 3 Hrs. (REGULAR MEDICAL - 2011) Complete Syllabus of Class XI & XII 21/02/2011 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE- D 1. The position (x) of a body is changing with time (t) as x = t 2 â€“ 4t â€“ 2. Find the distance covered by body in 4 s (where x is in metres and t is in seconds) (1) 8 m (2) 4 m (3) 2 m (4) Zero 2. The maximum percentage error in mass of a spherical body is 0.04 and the maximum percentage error in radius is 0.01. Find the maximum percentage error in density of body (1) 0.07 (2) 0.01 (3) 0.03 (4) 0.04 3. Which of the following is not a unit of length? (1) angstrom (2) light yeara (3) parsec (4) curie 4. A body covers first 1/3 rd of journey with velocity v 1 , half of remaining part with velocity v 2 and rest part with velocity v 3 . The average velocity of journey is (1) 2 1 2 1 3 v v v v ? (2) 3 1 3 1 3 v v v v ? (3) 3 3 2 1 v v v ? ? (4) 1 3 3 2 2 1 3 2 1 3 v v v v v v v v v ? ? 5. Rain droplets are falling in vertically downward direction with velocity 5 m/s. A cyclist is moving in northward direction with velocity 10 m/s. The rain droplets will appear to the cyclist to be coming from (1) tan â€“1 (2) above south horizontal (2) ? ? ? ? ? ? ? 2 1 tan 1 above north horizontal (3) Vertically downward (4) tan â€“1 (2) above north norizontal 6. The vector sum of two vectors is perpendicular to the vector subtraction of these two vectors, then the vectors are (1) Mutually perpendicular (2) Having same magnitude (3) Equal vectors (4) Negative vectors 7. When an elevator is moving upward, the apparent weight of a body inside elevator (1) Will increase (2) Will decrease (3) Remains the same (4) May be any of these PHYSICS (2) 8. A car is moving with constant speed along the path as shown in the figure. The force applied by the car on the surface is maximum at A B C (1) A (2) B (3) C (4) All the points 9. A stone of mass m tied to one end of a string of length l is released from horizontal position while other end of string is fixed. Find the angle of string with vertical when the acceleration of the stone is horizontal O ? m (1) ) 2 ( tan 1 ? (2) ? ? ? ? ? ? ? ? ? 2 1 tan 1 (3) 0° (4) 90° 10. A ball of mass m 1 collides head-on and elastic with another ball of mass m 2 . The fraction of kinetic energy transferred is maximum, if 2 1 m m = (1) 1 (2) Zero (3) Infinite (4) 2 11. A uniform rod is bent in U shape as shown in the figure. The coordinate of centre of mass of the system is P (0, 0) a a a (1) (0, 0) (2) ? ? ? ? ? ? 2 , 2 a a (3) ? ? ? ? ? ? 3 , 2 a a (4) ? ? ? ? ? ? 2 , a a 12. A uniform rod of length l is pivoted at its one end. It is free to move in vertical plane. If the rod is released from horizontal position, then velocity of free end of rod when it become vertical is (1) ? g (2) ? g 3 (3) ? g 5 (4) Zero 13. If gravitational force between satellite and planet is directly proportional to r n , where r is orbital radius of satellite, then the time period of satellite is directly proportional to (1) r n â€“ 1 (2) 2 1 1 ? n r (3) 2 n r (4) 2 3n r 14. A body is dropped from a height equal to radius of earth R. The velocity with which body will strike the ground is (1) Rg 2 (2) gR (3) gR 2 (4) 2 gR 15. A sheet is with two holes as shown in the figure. On heating separation between two holes will A B (1) Increase (2) Decrease (3) Remains the same (4) May increase or decrease depends on nature of material 16. A uniform rod is of radius r, length l and Young's modulus Y is placed on smooth surface as shown in the figure. If it is pushed by a horizontal froce F, then the strain in cylinder is F l (1) Y r F 2 2 ? (2) Y r F 2 4 ? (3) Y r F 2 2 ? (4) Y r F 2 ? 17. An ice block is floating in water in a container with a metallic ball inside it. When ice will melt, completely, the level of water (1) Will rise (2) Will fall (3) Remains the same (4) Depends on amount of ice Page 3 (1) Choose the correct answer : MM : 800 Regular Classroom Test - 9 Time : 3 Hrs. (REGULAR MEDICAL - 2011) Complete Syllabus of Class XI & XII 21/02/2011 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE- D 1. The position (x) of a body is changing with time (t) as x = t 2 â€“ 4t â€“ 2. Find the distance covered by body in 4 s (where x is in metres and t is in seconds) (1) 8 m (2) 4 m (3) 2 m (4) Zero 2. The maximum percentage error in mass of a spherical body is 0.04 and the maximum percentage error in radius is 0.01. Find the maximum percentage error in density of body (1) 0.07 (2) 0.01 (3) 0.03 (4) 0.04 3. Which of the following is not a unit of length? (1) angstrom (2) light yeara (3) parsec (4) curie 4. A body covers first 1/3 rd of journey with velocity v 1 , half of remaining part with velocity v 2 and rest part with velocity v 3 . The average velocity of journey is (1) 2 1 2 1 3 v v v v ? (2) 3 1 3 1 3 v v v v ? (3) 3 3 2 1 v v v ? ? (4) 1 3 3 2 2 1 3 2 1 3 v v v v v v v v v ? ? 5. Rain droplets are falling in vertically downward direction with velocity 5 m/s. A cyclist is moving in northward direction with velocity 10 m/s. The rain droplets will appear to the cyclist to be coming from (1) tan â€“1 (2) above south horizontal (2) ? ? ? ? ? ? ? 2 1 tan 1 above north horizontal (3) Vertically downward (4) tan â€“1 (2) above north norizontal 6. The vector sum of two vectors is perpendicular to the vector subtraction of these two vectors, then the vectors are (1) Mutually perpendicular (2) Having same magnitude (3) Equal vectors (4) Negative vectors 7. When an elevator is moving upward, the apparent weight of a body inside elevator (1) Will increase (2) Will decrease (3) Remains the same (4) May be any of these PHYSICS (2) 8. A car is moving with constant speed along the path as shown in the figure. The force applied by the car on the surface is maximum at A B C (1) A (2) B (3) C (4) All the points 9. A stone of mass m tied to one end of a string of length l is released from horizontal position while other end of string is fixed. Find the angle of string with vertical when the acceleration of the stone is horizontal O ? m (1) ) 2 ( tan 1 ? (2) ? ? ? ? ? ? ? ? ? 2 1 tan 1 (3) 0° (4) 90° 10. A ball of mass m 1 collides head-on and elastic with another ball of mass m 2 . The fraction of kinetic energy transferred is maximum, if 2 1 m m = (1) 1 (2) Zero (3) Infinite (4) 2 11. A uniform rod is bent in U shape as shown in the figure. The coordinate of centre of mass of the system is P (0, 0) a a a (1) (0, 0) (2) ? ? ? ? ? ? 2 , 2 a a (3) ? ? ? ? ? ? 3 , 2 a a (4) ? ? ? ? ? ? 2 , a a 12. A uniform rod of length l is pivoted at its one end. It is free to move in vertical plane. If the rod is released from horizontal position, then velocity of free end of rod when it become vertical is (1) ? g (2) ? g 3 (3) ? g 5 (4) Zero 13. If gravitational force between satellite and planet is directly proportional to r n , where r is orbital radius of satellite, then the time period of satellite is directly proportional to (1) r n â€“ 1 (2) 2 1 1 ? n r (3) 2 n r (4) 2 3n r 14. A body is dropped from a height equal to radius of earth R. The velocity with which body will strike the ground is (1) Rg 2 (2) gR (3) gR 2 (4) 2 gR 15. A sheet is with two holes as shown in the figure. On heating separation between two holes will A B (1) Increase (2) Decrease (3) Remains the same (4) May increase or decrease depends on nature of material 16. A uniform rod is of radius r, length l and Young's modulus Y is placed on smooth surface as shown in the figure. If it is pushed by a horizontal froce F, then the strain in cylinder is F l (1) Y r F 2 2 ? (2) Y r F 2 4 ? (3) Y r F 2 2 ? (4) Y r F 2 ? 17. An ice block is floating in water in a container with a metallic ball inside it. When ice will melt, completely, the level of water (1) Will rise (2) Will fall (3) Remains the same (4) Depends on amount of ice (3) 18. A container is on a table of height 2 H and H is height of water level in container. What should be height of a hole A from ground in wall of container for the maximum range? H H/2 A (1) 2 H (2) 2 3H (3) 4 3H (4) H 19. At constant pressure, the mean free path (?) of a gas molecule varies with temperature (T) as (1) ? T (2) ? T (3) ? T (4) ? T 20. When an ideal monoatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of gas is (1) 5 3 (2) 3 5 (3) 5 7 (4) 2 5 21. The frequency of first overtone of an open organ pipe is same as that of a closed organ pipe. If the length of open organ pipe is l, then length of the closed organ pipe will be (1) 2 ? (2) 4 ? (3) 4 3 ? (4) l 22. For a resonance tube, the air columns for the first and second resonance differ in length by 31.5 cm. The wavelength of the sound wave is (1) 31.5 cm (2) 63.0 cm (3) 126.0 cm (4) 252.0 cm 23. The time period of a simple pendulum having string of length l, bob of density ? immersed in a liquid of density s is (1) g ? ? 2 (2) ) ( 2 ? ? ? ? ? g ? (3) ) ( 2 ? ? ? ? ? g ? (4) ) ( 2 ? ? ? ? ? g ? 24. Velocity of a longitudinal wave in a medium depends on (1) Pressure (2) Frequency of particle of medium (3) Amplitude of particle of medium (4) Humidity 25. A boy is walking away from a wall at a speed of 1 m/s in a direction at right angles to the wall and he blows a whistle steadily. An observer, toward whom boy is walking hear 4 beats per second. If the speed of sound is 340 m/s, then the frequency of the whistle is (approximately) (1) 340 Hz (2) 680 Hz (3) 170 Hz (4) 1360 Hz 26. Which of the following electrostatic lines of force are possible? (1) (2) (3) (4) 27. An electric dipole in non-uniform electric field has (1) Rotational motion only (2) Translational motion only (3) Both rotational and translational (4) All of these are possible 28. An electron is released on the axis of a positively charged ring having charge +Q and radius R from distance of R 3 from centre. The kinetic energy of electron at the centre is (e is electronic charge) (1) R Qe 0 4 ?? (2) R Qe 0 8 ?? (3) R Qe 0 2 ?? (4) Zero Page 4 (1) Choose the correct answer : MM : 800 Regular Classroom Test - 9 Time : 3 Hrs. (REGULAR MEDICAL - 2011) Complete Syllabus of Class XI & XII 21/02/2011 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE- D 1. The position (x) of a body is changing with time (t) as x = t 2 â€“ 4t â€“ 2. Find the distance covered by body in 4 s (where x is in metres and t is in seconds) (1) 8 m (2) 4 m (3) 2 m (4) Zero 2. The maximum percentage error in mass of a spherical body is 0.04 and the maximum percentage error in radius is 0.01. Find the maximum percentage error in density of body (1) 0.07 (2) 0.01 (3) 0.03 (4) 0.04 3. Which of the following is not a unit of length? (1) angstrom (2) light yeara (3) parsec (4) curie 4. A body covers first 1/3 rd of journey with velocity v 1 , half of remaining part with velocity v 2 and rest part with velocity v 3 . The average velocity of journey is (1) 2 1 2 1 3 v v v v ? (2) 3 1 3 1 3 v v v v ? (3) 3 3 2 1 v v v ? ? (4) 1 3 3 2 2 1 3 2 1 3 v v v v v v v v v ? ? 5. Rain droplets are falling in vertically downward direction with velocity 5 m/s. A cyclist is moving in northward direction with velocity 10 m/s. The rain droplets will appear to the cyclist to be coming from (1) tan â€“1 (2) above south horizontal (2) ? ? ? ? ? ? ? 2 1 tan 1 above north horizontal (3) Vertically downward (4) tan â€“1 (2) above north norizontal 6. The vector sum of two vectors is perpendicular to the vector subtraction of these two vectors, then the vectors are (1) Mutually perpendicular (2) Having same magnitude (3) Equal vectors (4) Negative vectors 7. When an elevator is moving upward, the apparent weight of a body inside elevator (1) Will increase (2) Will decrease (3) Remains the same (4) May be any of these PHYSICS (2) 8. A car is moving with constant speed along the path as shown in the figure. The force applied by the car on the surface is maximum at A B C (1) A (2) B (3) C (4) All the points 9. A stone of mass m tied to one end of a string of length l is released from horizontal position while other end of string is fixed. Find the angle of string with vertical when the acceleration of the stone is horizontal O ? m (1) ) 2 ( tan 1 ? (2) ? ? ? ? ? ? ? ? ? 2 1 tan 1 (3) 0° (4) 90° 10. A ball of mass m 1 collides head-on and elastic with another ball of mass m 2 . The fraction of kinetic energy transferred is maximum, if 2 1 m m = (1) 1 (2) Zero (3) Infinite (4) 2 11. A uniform rod is bent in U shape as shown in the figure. The coordinate of centre of mass of the system is P (0, 0) a a a (1) (0, 0) (2) ? ? ? ? ? ? 2 , 2 a a (3) ? ? ? ? ? ? 3 , 2 a a (4) ? ? ? ? ? ? 2 , a a 12. A uniform rod of length l is pivoted at its one end. It is free to move in vertical plane. If the rod is released from horizontal position, then velocity of free end of rod when it become vertical is (1) ? g (2) ? g 3 (3) ? g 5 (4) Zero 13. If gravitational force between satellite and planet is directly proportional to r n , where r is orbital radius of satellite, then the time period of satellite is directly proportional to (1) r n â€“ 1 (2) 2 1 1 ? n r (3) 2 n r (4) 2 3n r 14. A body is dropped from a height equal to radius of earth R. The velocity with which body will strike the ground is (1) Rg 2 (2) gR (3) gR 2 (4) 2 gR 15. A sheet is with two holes as shown in the figure. On heating separation between two holes will A B (1) Increase (2) Decrease (3) Remains the same (4) May increase or decrease depends on nature of material 16. A uniform rod is of radius r, length l and Young's modulus Y is placed on smooth surface as shown in the figure. If it is pushed by a horizontal froce F, then the strain in cylinder is F l (1) Y r F 2 2 ? (2) Y r F 2 4 ? (3) Y r F 2 2 ? (4) Y r F 2 ? 17. An ice block is floating in water in a container with a metallic ball inside it. When ice will melt, completely, the level of water (1) Will rise (2) Will fall (3) Remains the same (4) Depends on amount of ice (3) 18. A container is on a table of height 2 H and H is height of water level in container. What should be height of a hole A from ground in wall of container for the maximum range? H H/2 A (1) 2 H (2) 2 3H (3) 4 3H (4) H 19. At constant pressure, the mean free path (?) of a gas molecule varies with temperature (T) as (1) ? T (2) ? T (3) ? T (4) ? T 20. When an ideal monoatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of gas is (1) 5 3 (2) 3 5 (3) 5 7 (4) 2 5 21. The frequency of first overtone of an open organ pipe is same as that of a closed organ pipe. If the length of open organ pipe is l, then length of the closed organ pipe will be (1) 2 ? (2) 4 ? (3) 4 3 ? (4) l 22. For a resonance tube, the air columns for the first and second resonance differ in length by 31.5 cm. The wavelength of the sound wave is (1) 31.5 cm (2) 63.0 cm (3) 126.0 cm (4) 252.0 cm 23. The time period of a simple pendulum having string of length l, bob of density ? immersed in a liquid of density s is (1) g ? ? 2 (2) ) ( 2 ? ? ? ? ? g ? (3) ) ( 2 ? ? ? ? ? g ? (4) ) ( 2 ? ? ? ? ? g ? 24. Velocity of a longitudinal wave in a medium depends on (1) Pressure (2) Frequency of particle of medium (3) Amplitude of particle of medium (4) Humidity 25. A boy is walking away from a wall at a speed of 1 m/s in a direction at right angles to the wall and he blows a whistle steadily. An observer, toward whom boy is walking hear 4 beats per second. If the speed of sound is 340 m/s, then the frequency of the whistle is (approximately) (1) 340 Hz (2) 680 Hz (3) 170 Hz (4) 1360 Hz 26. Which of the following electrostatic lines of force are possible? (1) (2) (3) (4) 27. An electric dipole in non-uniform electric field has (1) Rotational motion only (2) Translational motion only (3) Both rotational and translational (4) All of these are possible 28. An electron is released on the axis of a positively charged ring having charge +Q and radius R from distance of R 3 from centre. The kinetic energy of electron at the centre is (e is electronic charge) (1) R Qe 0 4 ?? (2) R Qe 0 8 ?? (3) R Qe 0 2 ?? (4) Zero (4) 29. Find the net capacitance of the given circuit CC C C C (1) 5C (2) 3C (3) 7 3C (4) 2 7C 30. If the separation between two isolated charged plates is increased, then the force between two plates (1) Increases (2) Decreases (3) Remains unchanged (4) May increases or decreases 31. A cuboidal shaped conductor has dimensions in the ratio of 1 : 3 : 5. The ratio of maximum to minimum resistance of conductor is (1) 1 : 1 (2) 5 : 1 (3) 15 : 1 (4) 25 : 1 32. When the key K is unplugged, how brightness of bulb B 1 and B 2 changes? B 3 B 2 B 1 K (1) Brightness of B 2 increases and brightness of B 1 decreases (2) Brightness of B 1 is same and brightness of B 2 increases (3) Brightness of B 1 increases and brightness of B 2 is same (4) Brightness of both bulbs B 1 and B 2 increases 33. Find the reading of ammeter shown in the circuit A 6 ? 6 ? 3 ? 3 ? + â€“ 5 V (1) 3 A (2) 1.5 A (3) 6 A (4) Zero 34. A proton and deutron enter in a region of uniform magnetic field with equal momenta in the direction perpendicular to the field. The ratio of radii of circular path is (1) 1 : 1 (2) 2 : 1 (3) 4 : 1 (4) 1 : 2 35. The magnetic field at the point O in the given figure is A I B 30° 60° a O (1) ) 1 3 ( 8 0 ? ? ? a I (2) ) 1 3 ( 8 0 ? ? ? a I (3) ) 1 3 ( 4 0 ? ? ? a I (4) Zero 36. A bar magnet of dipole moment M is bent as a part of circle shown in the figure. The new dipole moment is RR O R (1) M (2) ? 5 3M (3) ? 3 5M (4) ? M 2 37. A magnet oscillates with time period T. If magnet is cut into 16 equal pieces as shown in figure, then the time period of each piece is N S (1) 16 T (2) 4 T (3) 4T (4) 2 T 38. A conductor is moving with velocity v in a region of uniform magnetic field B. The electric field at P inside conductor is ×× × ×× × ×× × v P (1) Zero (2) vB (3) B v (4) v B Page 5 (1) Choose the correct answer : MM : 800 Regular Classroom Test - 9 Time : 3 Hrs. (REGULAR MEDICAL - 2011) Complete Syllabus of Class XI & XII 21/02/2011 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE- D 1. The position (x) of a body is changing with time (t) as x = t 2 â€“ 4t â€“ 2. Find the distance covered by body in 4 s (where x is in metres and t is in seconds) (1) 8 m (2) 4 m (3) 2 m (4) Zero 2. The maximum percentage error in mass of a spherical body is 0.04 and the maximum percentage error in radius is 0.01. Find the maximum percentage error in density of body (1) 0.07 (2) 0.01 (3) 0.03 (4) 0.04 3. Which of the following is not a unit of length? (1) angstrom (2) light yeara (3) parsec (4) curie 4. A body covers first 1/3 rd of journey with velocity v 1 , half of remaining part with velocity v 2 and rest part with velocity v 3 . The average velocity of journey is (1) 2 1 2 1 3 v v v v ? (2) 3 1 3 1 3 v v v v ? (3) 3 3 2 1 v v v ? ? (4) 1 3 3 2 2 1 3 2 1 3 v v v v v v v v v ? ? 5. Rain droplets are falling in vertically downward direction with velocity 5 m/s. A cyclist is moving in northward direction with velocity 10 m/s. The rain droplets will appear to the cyclist to be coming from (1) tan â€“1 (2) above south horizontal (2) ? ? ? ? ? ? ? 2 1 tan 1 above north horizontal (3) Vertically downward (4) tan â€“1 (2) above north norizontal 6. The vector sum of two vectors is perpendicular to the vector subtraction of these two vectors, then the vectors are (1) Mutually perpendicular (2) Having same magnitude (3) Equal vectors (4) Negative vectors 7. When an elevator is moving upward, the apparent weight of a body inside elevator (1) Will increase (2) Will decrease (3) Remains the same (4) May be any of these PHYSICS (2) 8. A car is moving with constant speed along the path as shown in the figure. The force applied by the car on the surface is maximum at A B C (1) A (2) B (3) C (4) All the points 9. A stone of mass m tied to one end of a string of length l is released from horizontal position while other end of string is fixed. Find the angle of string with vertical when the acceleration of the stone is horizontal O ? m (1) ) 2 ( tan 1 ? (2) ? ? ? ? ? ? ? ? ? 2 1 tan 1 (3) 0° (4) 90° 10. A ball of mass m 1 collides head-on and elastic with another ball of mass m 2 . The fraction of kinetic energy transferred is maximum, if 2 1 m m = (1) 1 (2) Zero (3) Infinite (4) 2 11. A uniform rod is bent in U shape as shown in the figure. The coordinate of centre of mass of the system is P (0, 0) a a a (1) (0, 0) (2) ? ? ? ? ? ? 2 , 2 a a (3) ? ? ? ? ? ? 3 , 2 a a (4) ? ? ? ? ? ? 2 , a a 12. A uniform rod of length l is pivoted at its one end. It is free to move in vertical plane. If the rod is released from horizontal position, then velocity of free end of rod when it become vertical is (1) ? g (2) ? g 3 (3) ? g 5 (4) Zero 13. If gravitational force between satellite and planet is directly proportional to r n , where r is orbital radius of satellite, then the time period of satellite is directly proportional to (1) r n â€“ 1 (2) 2 1 1 ? n r (3) 2 n r (4) 2 3n r 14. A body is dropped from a height equal to radius of earth R. The velocity with which body will strike the ground is (1) Rg 2 (2) gR (3) gR 2 (4) 2 gR 15. A sheet is with two holes as shown in the figure. On heating separation between two holes will A B (1) Increase (2) Decrease (3) Remains the same (4) May increase or decrease depends on nature of material 16. A uniform rod is of radius r, length l and Young's modulus Y is placed on smooth surface as shown in the figure. If it is pushed by a horizontal froce F, then the strain in cylinder is F l (1) Y r F 2 2 ? (2) Y r F 2 4 ? (3) Y r F 2 2 ? (4) Y r F 2 ? 17. An ice block is floating in water in a container with a metallic ball inside it. When ice will melt, completely, the level of water (1) Will rise (2) Will fall (3) Remains the same (4) Depends on amount of ice (3) 18. A container is on a table of height 2 H and H is height of water level in container. What should be height of a hole A from ground in wall of container for the maximum range? H H/2 A (1) 2 H (2) 2 3H (3) 4 3H (4) H 19. At constant pressure, the mean free path (?) of a gas molecule varies with temperature (T) as (1) ? T (2) ? T (3) ? T (4) ? T 20. When an ideal monoatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of gas is (1) 5 3 (2) 3 5 (3) 5 7 (4) 2 5 21. The frequency of first overtone of an open organ pipe is same as that of a closed organ pipe. If the length of open organ pipe is l, then length of the closed organ pipe will be (1) 2 ? (2) 4 ? (3) 4 3 ? (4) l 22. For a resonance tube, the air columns for the first and second resonance differ in length by 31.5 cm. The wavelength of the sound wave is (1) 31.5 cm (2) 63.0 cm (3) 126.0 cm (4) 252.0 cm 23. The time period of a simple pendulum having string of length l, bob of density ? immersed in a liquid of density s is (1) g ? ? 2 (2) ) ( 2 ? ? ? ? ? g ? (3) ) ( 2 ? ? ? ? ? g ? (4) ) ( 2 ? ? ? ? ? g ? 24. Velocity of a longitudinal wave in a medium depends on (1) Pressure (2) Frequency of particle of medium (3) Amplitude of particle of medium (4) Humidity 25. A boy is walking away from a wall at a speed of 1 m/s in a direction at right angles to the wall and he blows a whistle steadily. An observer, toward whom boy is walking hear 4 beats per second. If the speed of sound is 340 m/s, then the frequency of the whistle is (approximately) (1) 340 Hz (2) 680 Hz (3) 170 Hz (4) 1360 Hz 26. Which of the following electrostatic lines of force are possible? (1) (2) (3) (4) 27. An electric dipole in non-uniform electric field has (1) Rotational motion only (2) Translational motion only (3) Both rotational and translational (4) All of these are possible 28. An electron is released on the axis of a positively charged ring having charge +Q and radius R from distance of R 3 from centre. The kinetic energy of electron at the centre is (e is electronic charge) (1) R Qe 0 4 ?? (2) R Qe 0 8 ?? (3) R Qe 0 2 ?? (4) Zero (4) 29. Find the net capacitance of the given circuit CC C C C (1) 5C (2) 3C (3) 7 3C (4) 2 7C 30. If the separation between two isolated charged plates is increased, then the force between two plates (1) Increases (2) Decreases (3) Remains unchanged (4) May increases or decreases 31. A cuboidal shaped conductor has dimensions in the ratio of 1 : 3 : 5. The ratio of maximum to minimum resistance of conductor is (1) 1 : 1 (2) 5 : 1 (3) 15 : 1 (4) 25 : 1 32. When the key K is unplugged, how brightness of bulb B 1 and B 2 changes? B 3 B 2 B 1 K (1) Brightness of B 2 increases and brightness of B 1 decreases (2) Brightness of B 1 is same and brightness of B 2 increases (3) Brightness of B 1 increases and brightness of B 2 is same (4) Brightness of both bulbs B 1 and B 2 increases 33. Find the reading of ammeter shown in the circuit A 6 ? 6 ? 3 ? 3 ? + â€“ 5 V (1) 3 A (2) 1.5 A (3) 6 A (4) Zero 34. A proton and deutron enter in a region of uniform magnetic field with equal momenta in the direction perpendicular to the field. The ratio of radii of circular path is (1) 1 : 1 (2) 2 : 1 (3) 4 : 1 (4) 1 : 2 35. The magnetic field at the point O in the given figure is A I B 30° 60° a O (1) ) 1 3 ( 8 0 ? ? ? a I (2) ) 1 3 ( 8 0 ? ? ? a I (3) ) 1 3 ( 4 0 ? ? ? a I (4) Zero 36. A bar magnet of dipole moment M is bent as a part of circle shown in the figure. The new dipole moment is RR O R (1) M (2) ? 5 3M (3) ? 3 5M (4) ? M 2 37. A magnet oscillates with time period T. If magnet is cut into 16 equal pieces as shown in figure, then the time period of each piece is N S (1) 16 T (2) 4 T (3) 4T (4) 2 T 38. A conductor is moving with velocity v in a region of uniform magnetic field B. The electric field at P inside conductor is ×× × ×× × ×× × v P (1) Zero (2) vB (3) B v (4) v B (5) 39. An electric bulb rated 100 W, 40 V has to be operated across 50 V, 50 Hz a.c. supply. The inductance of inductor which should be connected in the series with the bulb is (1) H 12 . 0 ? (2) 12 H (3) 0.12 H (4) H 24 . 0 ? 40. In given circuit diagram find the r.m.s voltage across the resistor R ~ C R L EE = sin 0 t LC (1) E 0 (2) 2 0 E (3) 2 0 E (4) Zero 41. A circular parallel plate capacitor is connected to a battery. Then which of the following statement is correct for the region between the plates for steady state? + â€“ (1) Electric field is zero (2) Magnetic field is zero (3) Displacement current exist (4) Electric flux is changing 42. A plano-convex lens has spherical surface of radius R. If refractive index of glass is 1.5, the focal length of the lens is (1) 2 R (2) R (3) 2R (4) 4 R 43. When white light incident on a glass prism, then all spectra (1) Comes out from different points (2) Comes out from the same point (3) Are not visible after passing through its slab (4) Travels with the same speed in the slab 44. An electron and photon are moving with same energy E. The ratio of their wavelength is proportional to (1) E (2) E (3) E 1 (4) E 1 45. In a nuclear reaction of a-decay, the daughter nuclei X A Z is moving with kinetic energy E. The total energy released is (1) ) 4 ( 4 ? A E (2) ) ( 4 A E (3) ) 4 ( 4 ? A E (4) E (A â€“ 4) 46. How many minimum NAND gates are required to obtained output of NOT gate? (1) One (2) T wo (3) Three (4) Four 47. The phase difference between input and output signal of an amplifier in CE configuration is (1) 0 (2) 2 ? (3) p (4) 4 ? 48. A stationary atom releases a photon of frequency ?. The recoil speed of atom (where m is the mass of atom, c is velocity of light and h is Planck's constant) (1) mc h ? (2) ? m hc (3) c hm ? (4) 2 2 mc h ? 49. If electrostatic force on electron in atom is proportional to r 4 , where r is orbital radius; then the kinetic energy of electron is proportional to (1) r 8 (2) r 4 (3) r 5 (4) r 2 50. Avalanche breakdown of p-n junction diode is due to (1) Reverse biasing (2) Very high electric field (3) Collision of electron (4) All of theseRead More