AIPMT 2015 Cancelled Paper | NEET Year Wise Previous Years Questions

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1. If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface te 2. A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $$v\left( x \right) 3. A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a s 4. A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pully at the 5. Three blocks A, B and C, of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. 6. A block of mass 10 kg, moving in x direction with a constant speed of 10 m s$$-$$1, is subjected to a retarding force F 7. A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the 8. Two particles of masses m1, m2 move with initial velocities u1 and u2. On collision, one of the particles get excited t 9. Two similar springs P and Q have spring constants KP and KQ, such that KP > KQ. They are stretched first by the same 10. A rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The k 11. A mass m moves in a circle on a smooth horizontal plane with velocity v0 at a radius R0. The mass is attached to a strin 12. Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX' which 13. Kepler's third law states that square of period of revoluation (T) of a planet around the sun, is proportional to third 14. Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between thei 15. The two ends of a metal rod are maintained at temperatures 100oC and 110oC. The rate of heat flow in the rod is found to 16. A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m2. Assuming that the pressu 17. On observing light from three different starts P, Q and R, it was found that intensity of violet colour is maximum in th 18. The approximate depth of an ocean is 2700 m. The compressiblity of water is 45.4 $$ \times $$ 10$$-$$11 Pa$$-$$1 and den 19. A Carnot engine, having an efficiency of as heat engine, is used as a refrigerator. If the work done on the system is 10 20. The ratio of the specific heats $${{{C_p}} \over {{C_v}}} = \gamma $$ in terms of degrees of freedom (n) is given by 21. Figure below shows two paths that may be taken by a gas to go from a state A to a state C. In process AB, 400 J of heat 22. One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. The chang 23. A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 a 24. When two displacements represented by y1 = a sin$${\left( {\omega t} \right)}$$ and y2 = b cos$${\left( {\omega t} \righ 25. A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielect 26. The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere 27. Across a metallic conductor of non-uniform cross section a constant potential difference is applied. The quantity which 28. A, B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the figure. When some potential differe 29. A potentiometer wire has length 4 m and resistance 8 $$\Omega $$. The resistance that must be connected in series with t 30. An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the cent 31. A conducting square frame of side 'a' and a long straight wire carrying current $$I$$ are located in the same plane as s 32. A wire carrying current $$I$$ has the shape shown in adjoining figure. Linear parts of the wire are very long and para 33. A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resis 34. A radiation of energy 'E' falls normally on a perfectly reflecting surface. The momentum transferred to the surface is ( 35. For a parallel beam of monochromatic light of wavelength '$$\lambda $$' , diffraction is produced by a single slit whose 36. The refracting angle of a prism is A, and refractive index of the material of the prism is cot (A/2). The angle of minim 37. In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wa 38. Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed 39. A certain metallic surface is illuminated with monochromatic light of wavelength, $$\lambda .$$ The stopping potential f 40. Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength? 41. If radius of the $${}_{13}^{27}$$ Al nucleus is taken to be RAl, then the radius of $${}_{53}^{125}$$Te nucleus is nearl 42. Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbit will be [given 43. Which logic gate is represented by the following combination of logic gates ? 44. If in a p-n junction, a square input signal of 10 V is applied, as shown, then the output across RL will be

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be

$$\left[ {E{V^{ - 2}}{T^{ - 2}}} \right]$$

$$\left[ {{E^{ - 2}}{V^{ - 1}}{T^{ - 3}}} \right]$$

$$\left[ {E{V^{ - 2}}{T^{ - 1}}} \right]$$

$$\left[ {E{V^{ - 1}}{T^{ - 2}}} \right]$$

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $$v\left( x \right) = \beta {x^{ - 2n}}$$, where $$\beta $$ and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by

$$ - 2{\beta ^2}{x^{ - 2n + 1}}$$

$$ - 2n{\beta ^2}{e^{ - 4n + 1}}$$

$$ - 2n{\beta ^2}{x^{ - 2n - 1}}$$

$$ - 2n{\beta ^2}{x^{ - 4n - 1}}$$

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

A ship A is moving Westwards with a speed of 10 km h^$$-$$1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h^$$-$$1. The time after which the distance between them becomes shortest, is

$$5\sqrt 2 $$ h

$$10\sqrt 2 $$ h

0 h

5 h

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

A block A of mass m₁ rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block B of mass m₂ is suspended. The coefficient of kinetic friction between the block and the table is $$\mu $$_k. When the block A is sliding on the table, the tension in the string is

$${{{m_1}{m_2}(1 + {\mu _k})g} \over {({m_1} + {m_2})}}$$

$${{{m_1}{m_2}(1 - {\mu _k})g} \over {({m_1} + {m_2})}}$$

$${{\left( {{m_2} + {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$$

$${{\left( {{m_2} - {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$$

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