**NEET AIPMT Physics Chapter Wise Solutions – Solved Papers 2016 (Phase – II)**

**Units and Measurement**

**1. Planck’s constant (h), speed of light in vacuum (c) and Newtons gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?**

**Motion in a Straight Line**

**2. Two cars P and Q start from a point at the same time in a straight line and their positions are represented by x _{P}(t) = (at+bt^{2}) and x_{Q}(t) = (ft-t^{2}). At what time do the cars have the same velocity ?**

**Motion in a Plane**

**3. In the given figure, a = 15 m s ^{-2} represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is**

(a) 5 m s^{-1 }(b) 0 m s^{-1 }(c) 7 m s^{-1 }(d) 2 m s^{-1}

**Laws of Motion**

**4. A rigid ball of mass m strikes a rigid wall at 60° and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be**

**Work, Energy and Power**

**5. A bullet of mass 10 g moving horizontally with a velocity of 400 m s ^{-1} strikes a wood block of mass 2 kg which is suspended by light inextensible string of length 5 m. As a result,’the centre of gravity of the block found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be**

(a) 100 ms^{-1}

(b) 80 ms^{-1 }(c) 120 ms^{-1}

(d) 160 ms^{-1}

**6. Two identical balls A and B having velocities of 0.5 m s ^{-1} and -0.3 m s^{-1} respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be**

(a) -0.5 ms^{-1} and 0.3 ms^{-1 }(b) 5 ms^{-1} and -0.3 ms^{-1 }(c) -0.3 ms^{-1} and 0.5 ms^{-1 }(d) 3 ms^{-1} and 0.5 ms^{-1}

**7. A particle moves from a point (-2i + 5j) to (4 j + 3k) when a force of (4i + 3 j) N is applied. How much work has been done by the force ?**

(a) 8 J

(b) 11 J

(c) 5 J

(d) 2 J

**System of Particles and Rotational Motion**

**8. Two rotating bodies A and B of masses m and 2m with moments of inertia I _{A} and I_{B} (I_{B} > l_{A}) have equal kinetic energy of rotation. If L_{A} and L_{B} be their angular momenta respectively, then**

(a) L_{A} = L_{B}/2

(b) L_{A} = 2L_{B }(c) L_{B} > L_{A}

(d) L_{A} > L_{B}

**9. A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (E _{sphere} / E_{Cylinder}) will be**

(a) 2 : 3

(b) 1 : 5

(c) 1 : 4

(d) 3 : 1

**10. A light rod of length l has two masses m _{l} and nu attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is**

**Gravitation**

**11. Starting from the centre of the earth having radius R, the variation of g( acceleration due to gravity) is shown by**

**12. A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g _{0}, the value of acceleration due to gravity at the earths surface, is .**

**Properties of Matter**

**13. A rectangular film of liquid is extended from (4 cm x 2 cm) to (5 cm x 4 cm). If the work done is 3 x 10 ^{-4} J, the value of the surface tension of the liquid is**

(a) 0.250 N m^{-1}

(b) 0.125 N m^{-1 }(c) 2 N m^{-1}

(d) 8.0 N m^{-1}

**14. Three liquids of densities ρ _{1}, ρ_{2} and ρ_{3} (with ρ_{1} > ρ_{2} > ρ_{3}), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact θ_{1}, θ_{2 }and θ_{3} obey**

**15. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100 °C, while the other one is at 0 °C. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is**

(a) 50 °C

(b) more than 50 °C

(c) less than 50 °C but greater than 0 °C

(d) 0°C

**16. A body cools from a temperature 3 T to 2 T in 10 minutes. The room temperature is T. Assume that Newtons law of cooling is applicable. The temperature of the body at the end of next 10 minutes will be**

**Thermodynamics and Kinetic Theory**

**17. One mole of an ideal monoatomic gas undergoes a process described by (he equation PV ^{3} = constant). The heat capacity of the gas during this process is**

(a) (3/2) R

(b) (5/2) R

(c) 2R

(d) R

**18. The temperature inside a refrigerator is t _{2} °C and the room temperature is t_{1} °C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be**

**19. A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas ?**

(a) P/(kT)

(b) Pm/(kT)

(c) P/(kTV)

(d) mkT

**Oscillations**

**20. A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is**

(a) 3/4

(b) 4/3

(c) 16/9

(d) 9/16

**Waves**

**21. The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be**

(a) L

(b) 2L

(c) L/2

(d) 4L

**22. Three sound waves of equal amplitudes have frequencies (n- 1), n, (n + 1). They superimpose to give beats. The number of beats produced per second will be**

(a) 1

(b) 4

(c) 3

(d) 2

**Electrostatics**

**23. An electric dipole is placed at an angle of 30° with an electric field intensity 2 x 10 ^{5} N C^{-1}. It experiences a torque equal to 4 N m. The charge on the dipole, if the dipole length is 2 cm, is**

(a) 8 mC

(b) 2 mC

(c) 5 mC

(d) 7 μC

**24. A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants A:k _{1}, k_{2}, k_{3} and k_{4} as shown in the figure. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by**

**Current Electricity**

**25. The potential difference (V _{A} – V_{B}) between the points A and B in the given figure is**

(a) -3V

(b) +3V

(c) +6V

(d) +9V

**26. A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is**

(a) 230 Ω

(b) 46 Ω

(c) 26 Ω

(d) 13 Ω

**Moving Charges and Magnetism**

**27. A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is It is then bent into a circular coil of n turns. The magnetic field at the centre of this coil of n turns will be**

(a) nB

(b) n^{2}B

(c) 2nB

(d) 2n^{2}B

**28. An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 x 10 ^{-2} If the value of elm is 1.76 x 10^{11} C kg^{-1}, the frequency of revolution of the electron is**

(a) 1 GHz

(b) 100 MHz

(c) 62.8 MHz

(d) 6.28 MHz

**Magnetism and Matter**

**29. A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by 60° is W. Now the torque required to keep the magnet in this new position is**

**Electromagnetic induction and Alternating Current**

**30. Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication ?**

(a) R = 20 Ω, L =5 H, C = 35 μF

(b) R = 25 Ω, L = 2.5 H, C = 45 μF

(c) R = 15 Ω, L =5 H, C = 30 μF

(d) R = 25 Ω, L = 1.5 H, C = 45 μF

**31. A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate dB/dt. Loop 1 of radius R > r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in the figure. Then the e.m.f. generated is**

**32. The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. The power factor of this circuit is**

(a) 0.4

(b) 0.5

(c) 0.8

(d) 1.0

**Electromagnetic Waves**

**33. A 100 Ω resistance and a capacitor of 100 Ω reactance are connected in series across a 220 V source. When the capacitor is 50% charged, the peak value of the displacement current is**

(a) 2.2 A

(b) 11 A

(c) 4.4 A

(d) 11 √2 A

**Optics**

**34. Two identical glass (μ _{g} = 3/2) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water (μ_{w} = 4/3). The focal length of the combination is**

(a) f/3

(b) f

(c) 4f/3

(d) 3f/4

**35. An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is**

(a) 8

(b) 10

(c) 12

(d) 16

**36. The interference pattern is obtained with two coherent light sources of intensity ratio n. In the**

**37. A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be**

(a) convex, +2.25 diopter

(b) concave, -0.25 diopter

(c) concave, -0.2 diopter

(d) convex, +0.15 diopter

**38. A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 x 10 ^{-5} cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is**

(a) 0.10 cm

(b) 0.25 cm

(c) 0.20 cm

(d) 0.15 cm

**Dual Nature of Radiation and Matter**

**39. Electrons of mass m with de-Broglie wavelength A fall on the target in an X-ray tube. The cutoff wavelength (λ _{0}) of the emitted X-ray is**

**40. Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is**

(a) +3 V

(b) +4 V

(c) -1 V

(d) -3 V

**Atoms and Nuclei**

**41. If an electron in a hydrogen atom jumps from the 3 ^{rd} orbit to the 2^{nd} orbit, it emits a photon of wavelength λ. When it jumps from the 4^{th} orbit to the 3^{rd} orbit, the corresponding wavelength of the photon will be**

**42. The half-life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay and 85% decay of the same radioactive substance is**

(a) 15

(b) 30

(c) 45

(d) 60

**Semiconductor Electronics: Materials. Devices and Simple Circuits**

**43. For CE transistor amplifier, the audio signal voltage across the collector resistance of 2 kΩ is 4 V. If the current amplification factor of the transistor is 100 and the base resistance is 1 kΩ, then the input signal voltage is**

(a) 10 mV

(b) 20 mV

(c) 30 mV

(d) 15 mV

**44. The given circuit has two ideal diodes connected as shown in the figure. The current flowing through the resistance R _{1} will be**

**45. What is the output Y in the following circuit, when all the three inputs A, B, C are first 0 and then 1 ?**

(a) 0, 1

(b) 0,0

(c) 1,0

(d) 1, 1

**ANSWERS**

**EXPLANATIONS**

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