Page 1 1 ISBN : 978-9386146441 Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997 onwards till date, distributed in around 20-25 topics in each subject. The book has been divided into 4 sections â€“ Physics (divided into 18 chapters), Chemistry (divided into 23 chapters), Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters). The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on that topic. This will assess whether your preparation is up to the mark with the AIIMS level. The strength of the book lies in the originality of its question papers and Errorless Solutions. The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions. The book also contains 1 fully solved 'Mock Test on the Latest Pattern.' This Paper is taken from our Book: AIIMS 2016 SOLVED PAPER Page 2 1 ISBN : 978-9386146441 Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997 onwards till date, distributed in around 20-25 topics in each subject. The book has been divided into 4 sections â€“ Physics (divided into 18 chapters), Chemistry (divided into 23 chapters), Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters). The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on that topic. This will assess whether your preparation is up to the mark with the AIIMS level. The strength of the book lies in the originality of its question papers and Errorless Solutions. The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions. The book also contains 1 fully solved 'Mock Test on the Latest Pattern.' This Paper is taken from our Book: AIIMS 2016 SOLVED PAPER AIIMS Solved Paper 2016 2016-1 AIIMS 2016 PHYSICS 1. Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body , then n is equal to (a) nN (b) gN 1 (c) 2 N gN 1 + (d) 4 N gN 1 - 2. Consider a thin uniform square sheet made of a rigid material. If its side is â€˜aâ€™ mass m and moment of inertia I about one of its diagonals, then (a) 2 ma I 12 > (b) 22 ma ma I 24 12 << (c) 2 ma I 24 = (d) 2 ma I 12 = 3. A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam incident normally on the face AB is totally reflected to reach on the face BC if (a) 9 8 sin ³ q (b) 9 8 sin 3 2 < q < q A B (c) 3 2 sin £ q (d) None of these 4. In an inductor of self-inductance L = 2 mH, current changes with time according to relation i = t 2 e â€“t . At what time emf is zero? (a) 4s (b) 3s (c) 2s (d) 1s 5. Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is D 1 D 2 20W 5V A C E B D F 10W (a) 0.75 A (b) 0.5 A (c) 0.25 A (d) zero 6. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be (a)T (b) /2 T (c) 2T (d) 2 T 7. A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be (a) 4.0 A (b) 8.0 A (c) 20 A 13 (d) 2.0 A 8. The electrostatic potential inside a charged spherical ball is given by 2 arb f=+ where r is the distance from the centre a, b are constants. Then the charge density inside the ball is (a) 0 â€“6ar e (b) 0 â€“ 24 a pe (c) 0 â€“6ae (d) 0 â€“ 24ar pe 9. A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by l a and when the weight is immersed completely in water, the extension is reduced to l w . Then the relative density of material of the weight is (a) w a / l l (b) w a a l l l - (c) ) /( w a w l l l - (d) a w / l l Page 3 1 ISBN : 978-9386146441 Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997 onwards till date, distributed in around 20-25 topics in each subject. The book has been divided into 4 sections â€“ Physics (divided into 18 chapters), Chemistry (divided into 23 chapters), Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters). The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on that topic. This will assess whether your preparation is up to the mark with the AIIMS level. The strength of the book lies in the originality of its question papers and Errorless Solutions. The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions. The book also contains 1 fully solved 'Mock Test on the Latest Pattern.' This Paper is taken from our Book: AIIMS 2016 SOLVED PAPER AIIMS Solved Paper 2016 2016-1 AIIMS 2016 PHYSICS 1. Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body , then n is equal to (a) nN (b) gN 1 (c) 2 N gN 1 + (d) 4 N gN 1 - 2. Consider a thin uniform square sheet made of a rigid material. If its side is â€˜aâ€™ mass m and moment of inertia I about one of its diagonals, then (a) 2 ma I 12 > (b) 22 ma ma I 24 12 << (c) 2 ma I 24 = (d) 2 ma I 12 = 3. A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam incident normally on the face AB is totally reflected to reach on the face BC if (a) 9 8 sin ³ q (b) 9 8 sin 3 2 < q < q A B (c) 3 2 sin £ q (d) None of these 4. In an inductor of self-inductance L = 2 mH, current changes with time according to relation i = t 2 e â€“t . At what time emf is zero? (a) 4s (b) 3s (c) 2s (d) 1s 5. Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is D 1 D 2 20W 5V A C E B D F 10W (a) 0.75 A (b) 0.5 A (c) 0.25 A (d) zero 6. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be (a)T (b) /2 T (c) 2T (d) 2 T 7. A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be (a) 4.0 A (b) 8.0 A (c) 20 A 13 (d) 2.0 A 8. The electrostatic potential inside a charged spherical ball is given by 2 arb f=+ where r is the distance from the centre a, b are constants. Then the charge density inside the ball is (a) 0 â€“6ar e (b) 0 â€“ 24 a pe (c) 0 â€“6ae (d) 0 â€“ 24ar pe 9. A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by l a and when the weight is immersed completely in water, the extension is reduced to l w . Then the relative density of material of the weight is (a) w a / l l (b) w a a l l l - (c) ) /( w a w l l l - (d) a w / l l 2016-2 AIIMS Solved Paper 2016 10. A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to â€˜xâ€™. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. â€˜xâ€™ is L x A C D B m O (a) 5 L (b) 5 L 4 (c) 4 L 3 (d) 4 L 11. An infinitely long solid cylinder of radius R has a uniform volume charge density r. It has a spherical cavity of radius R/2 with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the electric field at the point P, which is at a distance 2R from the axis of the cylinder, is given by the expression 0 23R 16K r e . The value of k is (a)6 (b) 5 (c)7 (d) 4 12. The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is (a)3 (b) 4 (c)1 (d) 2 13. If e is the charge, V the potential difference, T the temperature, then the units of eV T are the same as that of (a) Planckâ€™s constant (b) Stefanâ€™s constant (c) Boltzmann constant (d) Gravitational constant 14. A ball is thrown from a point with a speed â€˜v 0 â€™ at an elevation angle of ? . From the same point and at the same instant, a person starts running with a constant speed 0 'v' 2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection ? ? (a) No (b) Y es, 30° (c) Y es, 60° (d) Y es, 45° 15. A current source drives a current in a coil of resistance R 1 for a time t. The same source drives current in another coil of resistance R 2 for same time. If heat generated is same, find internal resistance of source. (a) 2 1 2 1 R R R R + (b) 2 1 R R + (c) zero (d) 2 1 R R 16. An ideal coil of 10H is connected in series with a resistance of 5W and a battery of 5V . After 2 sec the connection is made, the current flowing in ampere in the circuit is (a) (1 â€“ e â€“1 ) (b) (1 â€“ e) (c)e (d) e â€“1 17. Two, spring P and Q of force constants k p and 2 p QQ k kk æö = ç÷ èø are stretched by applying forces of equal magnitude. If the energy stored in Q is E, then the energy stored in P is (a)E (b) 2 E (c) E/2 (d) E/4 18. A glass marble dropped from a certain height above the horizontal surface reaches the surface in time t and then continues to bounce up and down. The time in which the marble finally comes to rest is Page 4 1 ISBN : 978-9386146441 Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997 onwards till date, distributed in around 20-25 topics in each subject. The book has been divided into 4 sections â€“ Physics (divided into 18 chapters), Chemistry (divided into 23 chapters), Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters). The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on that topic. This will assess whether your preparation is up to the mark with the AIIMS level. The strength of the book lies in the originality of its question papers and Errorless Solutions. The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions. The book also contains 1 fully solved 'Mock Test on the Latest Pattern.' This Paper is taken from our Book: AIIMS 2016 SOLVED PAPER AIIMS Solved Paper 2016 2016-1 AIIMS 2016 PHYSICS 1. Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body , then n is equal to (a) nN (b) gN 1 (c) 2 N gN 1 + (d) 4 N gN 1 - 2. Consider a thin uniform square sheet made of a rigid material. If its side is â€˜aâ€™ mass m and moment of inertia I about one of its diagonals, then (a) 2 ma I 12 > (b) 22 ma ma I 24 12 << (c) 2 ma I 24 = (d) 2 ma I 12 = 3. A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam incident normally on the face AB is totally reflected to reach on the face BC if (a) 9 8 sin ³ q (b) 9 8 sin 3 2 < q < q A B (c) 3 2 sin £ q (d) None of these 4. In an inductor of self-inductance L = 2 mH, current changes with time according to relation i = t 2 e â€“t . At what time emf is zero? (a) 4s (b) 3s (c) 2s (d) 1s 5. Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is D 1 D 2 20W 5V A C E B D F 10W (a) 0.75 A (b) 0.5 A (c) 0.25 A (d) zero 6. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be (a)T (b) /2 T (c) 2T (d) 2 T 7. A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be (a) 4.0 A (b) 8.0 A (c) 20 A 13 (d) 2.0 A 8. The electrostatic potential inside a charged spherical ball is given by 2 arb f=+ where r is the distance from the centre a, b are constants. Then the charge density inside the ball is (a) 0 â€“6ar e (b) 0 â€“ 24 a pe (c) 0 â€“6ae (d) 0 â€“ 24ar pe 9. A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by l a and when the weight is immersed completely in water, the extension is reduced to l w . Then the relative density of material of the weight is (a) w a / l l (b) w a a l l l - (c) ) /( w a w l l l - (d) a w / l l 2016-2 AIIMS Solved Paper 2016 10. A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to â€˜xâ€™. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. â€˜xâ€™ is L x A C D B m O (a) 5 L (b) 5 L 4 (c) 4 L 3 (d) 4 L 11. An infinitely long solid cylinder of radius R has a uniform volume charge density r. It has a spherical cavity of radius R/2 with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the electric field at the point P, which is at a distance 2R from the axis of the cylinder, is given by the expression 0 23R 16K r e . The value of k is (a)6 (b) 5 (c)7 (d) 4 12. The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is (a)3 (b) 4 (c)1 (d) 2 13. If e is the charge, V the potential difference, T the temperature, then the units of eV T are the same as that of (a) Planckâ€™s constant (b) Stefanâ€™s constant (c) Boltzmann constant (d) Gravitational constant 14. A ball is thrown from a point with a speed â€˜v 0 â€™ at an elevation angle of ? . From the same point and at the same instant, a person starts running with a constant speed 0 'v' 2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection ? ? (a) No (b) Y es, 30° (c) Y es, 60° (d) Y es, 45° 15. A current source drives a current in a coil of resistance R 1 for a time t. The same source drives current in another coil of resistance R 2 for same time. If heat generated is same, find internal resistance of source. (a) 2 1 2 1 R R R R + (b) 2 1 R R + (c) zero (d) 2 1 R R 16. An ideal coil of 10H is connected in series with a resistance of 5W and a battery of 5V . After 2 sec the connection is made, the current flowing in ampere in the circuit is (a) (1 â€“ e â€“1 ) (b) (1 â€“ e) (c)e (d) e â€“1 17. Two, spring P and Q of force constants k p and 2 p QQ k kk æö = ç÷ èø are stretched by applying forces of equal magnitude. If the energy stored in Q is E, then the energy stored in P is (a)E (b) 2 E (c) E/2 (d) E/4 18. A glass marble dropped from a certain height above the horizontal surface reaches the surface in time t and then continues to bounce up and down. The time in which the marble finally comes to rest is AIIMS Solved Paper 2016 2016-3 (a) t e n (b) t e 2 (c) e t 1e 1+ éù êú - ëû (d) ú û ù ê ë é + - 1 e 1 e t 19. Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is r, the surface tension of water is T and the atmospheric pressure is P 0 . Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude 2R A B D C h (a) 2 0 |2 2| P Rh R gh RT +p r- (b) 2 0 |2 2| P Rh R gh RT +r- (c) 22 0 | 2| P R R gh RT p +r- (d) 22 0 | 2| P R R gh RT p +r+ 20. Two similar open organ pipe of length 50 cm and 50.5 cm produce 3 beats per second when sounded together. The velocity of sound in air is (a) 303 m/s (b) 330 m/s (c) 151.5 m/s (d) 603 m/s 21. Two points A and B are situated at a distance x and 2x respectively from the nearer pole of a magnet 2 cm long. The ratio of magnetic field at A and B is (a) 4 : 1 exactly (b) 4 : 1 approximately (c) 8 : 1 approximately (d) 1 : 1 approximately 22. A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at 2 a distance from the centre, will be (a) 3GM a - (b) 2 GM a - (c) GM a - (d) 4 GM a - 23. A particle moves with simple harmonic motion in a straight line. In first t s, after starting from rest, it travels a distance a, and in next t s, it travels 2a in same direction then (a) amplitude of motion is 3a (b) time period of oscillations is 8t. (c) amplitude of motion is 4a. (d) time period of oscillations is 6t. 24. A ray of light is incident at an angle of incidence, i, on one face of prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is m, the angle of incidence i, is nearly equal to (a) mA (b) 2 A m (c) A m (d) 2 A m 25. A smooth block is released at rest on a 45° incline and then slides a distance â€˜dâ€™. The time taken to slide is â€˜nâ€™ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is (a) k m = 2 n 1 1- (b) k m = 2 n 1 1- (c) s m = 2 n 1 1- (d) s m = 2 n 1 1- 26. Two long conductors, separated by a distance d carry current I 1 and I 2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of the force between them is Page 5 1 ISBN : 978-9386146441 Product Name : AIIMS 20 years Topic-wise Solved Papers (1997-2016) with 1 Mock Test Product Description : TAIIMS Topic-wise Solved Papers consists of past years (memory based) solved papers 1997 onwards till date, distributed in around 20-25 topics in each subject. The book has been divided into 4 sections â€“ Physics (divided into 18 chapters), Chemistry (divided into 23 chapters), Biology (divided into 23 chapters) and General Knowledge (divided into 6 chapters). The book has been compiled in a manner that you just revise one topic and then solve all the previous year questions on that topic. This will assess whether your preparation is up to the mark with the AIIMS level. The strength of the book lies in the originality of its question papers and Errorless Solutions. The book contains around 4000 straight MCQs - 3200 MCQs and 800 Assertion-Reason type questions. The book also contains 1 fully solved 'Mock Test on the Latest Pattern.' This Paper is taken from our Book: AIIMS 2016 SOLVED PAPER AIIMS Solved Paper 2016 2016-1 AIIMS 2016 PHYSICS 1. Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body , then n is equal to (a) nN (b) gN 1 (c) 2 N gN 1 + (d) 4 N gN 1 - 2. Consider a thin uniform square sheet made of a rigid material. If its side is â€˜aâ€™ mass m and moment of inertia I about one of its diagonals, then (a) 2 ma I 12 > (b) 22 ma ma I 24 12 << (c) 2 ma I 24 = (d) 2 ma I 12 = 3. A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam incident normally on the face AB is totally reflected to reach on the face BC if (a) 9 8 sin ³ q (b) 9 8 sin 3 2 < q < q A B (c) 3 2 sin £ q (d) None of these 4. In an inductor of self-inductance L = 2 mH, current changes with time according to relation i = t 2 e â€“t . At what time emf is zero? (a) 4s (b) 3s (c) 2s (d) 1s 5. Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is D 1 D 2 20W 5V A C E B D F 10W (a) 0.75 A (b) 0.5 A (c) 0.25 A (d) zero 6. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be (a)T (b) /2 T (c) 2T (d) 2 T 7. A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be (a) 4.0 A (b) 8.0 A (c) 20 A 13 (d) 2.0 A 8. The electrostatic potential inside a charged spherical ball is given by 2 arb f=+ where r is the distance from the centre a, b are constants. Then the charge density inside the ball is (a) 0 â€“6ar e (b) 0 â€“ 24 a pe (c) 0 â€“6ae (d) 0 â€“ 24ar pe 9. A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by l a and when the weight is immersed completely in water, the extension is reduced to l w . Then the relative density of material of the weight is (a) w a / l l (b) w a a l l l - (c) ) /( w a w l l l - (d) a w / l l 2016-2 AIIMS Solved Paper 2016 10. A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to â€˜xâ€™. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. â€˜xâ€™ is L x A C D B m O (a) 5 L (b) 5 L 4 (c) 4 L 3 (d) 4 L 11. An infinitely long solid cylinder of radius R has a uniform volume charge density r. It has a spherical cavity of radius R/2 with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the electric field at the point P, which is at a distance 2R from the axis of the cylinder, is given by the expression 0 23R 16K r e . The value of k is (a)6 (b) 5 (c)7 (d) 4 12. The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is (a)3 (b) 4 (c)1 (d) 2 13. If e is the charge, V the potential difference, T the temperature, then the units of eV T are the same as that of (a) Planckâ€™s constant (b) Stefanâ€™s constant (c) Boltzmann constant (d) Gravitational constant 14. A ball is thrown from a point with a speed â€˜v 0 â€™ at an elevation angle of ? . From the same point and at the same instant, a person starts running with a constant speed 0 'v' 2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection ? ? (a) No (b) Y es, 30° (c) Y es, 60° (d) Y es, 45° 15. A current source drives a current in a coil of resistance R 1 for a time t. The same source drives current in another coil of resistance R 2 for same time. If heat generated is same, find internal resistance of source. (a) 2 1 2 1 R R R R + (b) 2 1 R R + (c) zero (d) 2 1 R R 16. An ideal coil of 10H is connected in series with a resistance of 5W and a battery of 5V . After 2 sec the connection is made, the current flowing in ampere in the circuit is (a) (1 â€“ e â€“1 ) (b) (1 â€“ e) (c)e (d) e â€“1 17. Two, spring P and Q of force constants k p and 2 p QQ k kk æö = ç÷ èø are stretched by applying forces of equal magnitude. If the energy stored in Q is E, then the energy stored in P is (a)E (b) 2 E (c) E/2 (d) E/4 18. A glass marble dropped from a certain height above the horizontal surface reaches the surface in time t and then continues to bounce up and down. The time in which the marble finally comes to rest is AIIMS Solved Paper 2016 2016-3 (a) t e n (b) t e 2 (c) e t 1e 1+ éù êú - ëû (d) ú û ù ê ë é + - 1 e 1 e t 19. Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is r, the surface tension of water is T and the atmospheric pressure is P 0 . Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude 2R A B D C h (a) 2 0 |2 2| P Rh R gh RT +p r- (b) 2 0 |2 2| P Rh R gh RT +r- (c) 22 0 | 2| P R R gh RT p +r- (d) 22 0 | 2| P R R gh RT p +r+ 20. Two similar open organ pipe of length 50 cm and 50.5 cm produce 3 beats per second when sounded together. The velocity of sound in air is (a) 303 m/s (b) 330 m/s (c) 151.5 m/s (d) 603 m/s 21. Two points A and B are situated at a distance x and 2x respectively from the nearer pole of a magnet 2 cm long. The ratio of magnetic field at A and B is (a) 4 : 1 exactly (b) 4 : 1 approximately (c) 8 : 1 approximately (d) 1 : 1 approximately 22. A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at 2 a distance from the centre, will be (a) 3GM a - (b) 2 GM a - (c) GM a - (d) 4 GM a - 23. A particle moves with simple harmonic motion in a straight line. In first t s, after starting from rest, it travels a distance a, and in next t s, it travels 2a in same direction then (a) amplitude of motion is 3a (b) time period of oscillations is 8t. (c) amplitude of motion is 4a. (d) time period of oscillations is 6t. 24. A ray of light is incident at an angle of incidence, i, on one face of prism of angle A (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is m, the angle of incidence i, is nearly equal to (a) mA (b) 2 A m (c) A m (d) 2 A m 25. A smooth block is released at rest on a 45° incline and then slides a distance â€˜dâ€™. The time taken to slide is â€˜nâ€™ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is (a) k m = 2 n 1 1- (b) k m = 2 n 1 1- (c) s m = 2 n 1 1- (d) s m = 2 n 1 1- 26. Two long conductors, separated by a distance d carry current I 1 and I 2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of the force between them is 2016-4 AIIMS Solved Paper 2016 (a) 3 F 2 - (b) 3 F (c) â€“2 F (d) 3 F - 27. Figure below shows two paths that may be taken by a gas to go from a state A to a state C. 2 × 10 m 4 × 10 m â€“ 3 3 â€“33 2×10 Pa 4 6×10 Pa 4 P B C A V In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be (a) 500 J (b) 460 J (c) 300 J (d) 380 J 28. A whistle S of frequency f revolves in a circle of radius R at a constant speed v. What is the ratio of largest and smallest frequency detected by a detector D at rest at a distance 2R from the centre of circle as shown in figure ? (take c as speed of sound) D 2R R S (a) cv cv + æö ç÷ èø - (b) cv 2 cv + æö ç÷ èø - (c) 2 (d) (c v) c2 + 29. Steam is passed into 22 g of water at 20°C . The mass of water that will be present when the water acquires a temperature of 90°C is (Latent heat of steam is 540 cal/gm) (a) 24.8 gm (b) 24 gm (c) 36.6 gm (d) 30 gm 30. A single slit Fraunhoffer diffraction pattern is formed with white light. For what wavelength of light the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for red light of wavelength 6500 Å? (a) 4400 Å (b) 4100 Å (c) 4642.8 Å (d) 9100 Å 31. A vessel contains oil (density = 0.8 gm/cm 3 ) over mercury (denisty = 13.6 gm/cm 3 ). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in gm/cm 3 is (a) 3.3 (b) 6.4 (c) 7.2 (d) 12.8 32. A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats g. It is moving with speed v and its suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by (a) 2 ( â€“ 1) 2 MvK R g g (b) 2 2 Mv K R g (c) 2 ( â€“ 1) 2 MvK R g (d) 2 ( â€“ 1) 2( 1) MvK R g g+ 33. The distance of neptune and saturn from the sun is nearly 10 13 and 10 12 meter respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio ( a) 10 (b) 1 00 (c) 10 10 (d) 1000 34. A charge +q is fixed at each of the points x = x 0 , x = 3x 0 , x = 5x 0 , .... upto ¥ on X-axis and charge â€“q is fixed on each of the points x = 2x 0 , x = 4x 0 , x = 6x 0 , .... upto ¥ . Here x 0 is a positive constant. Take the potential at a point due to a charge Q at a distance r from it to be r 4 Q 0 pe . Then the potential at the origin due to above system of charges will beRead More

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