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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions

61.

Progressive waves are represented by the equation y₁ = a sin (ωt - x ) and y₂ = bcos (ωt - x ). The phase difference wave is

0^o
45^o
90^o
180^o

62.

A solid sphere is set into motion on a rough horizontal surface with a linear speed v in the forward direction and an angular speed $\frac{v}{R}$ in the anticlockwise direction as shown in figure. Find the linear speed of the sphere when it stops rotating and ω = $\frac{v}{R}$

$\frac{3 v}{5}$
$\frac{2 v}{5}$
$\frac{4 v}{3}$
$\frac{7 v}{3}$

63.

The working principle of a ball point pen is

Bernoulli's theorem
surface tension
gravity
viscosity

64.

If applied torque on a system is zero, i.e.,Τ = 0 , then for that system

ω = 0
α = 0
J = 0
F = 0

65.

A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 rad-s^-2 produced in it due to the torque. Then, moment of inertia of the wheel is (g =10 ms^-2 )

2 kg-m²
1 kg-m²
4 kg-m²
8 kg-m²

66.

Two blocks of masses m₁ and m₂ are connected by a spring of spring constant k. The block of mass m₂ is given a sharp empulse so that it acquires a velocity v₀towards right. Find the maximum elongation that the spring will suffer.

${[\frac{m_{1} m_{2}}{m_{1} + m_{2}}]}^{\frac{1}{2}}$ v₀
$(\frac{m_{1} + m_{2}}{m_{1} - m_{2}})$ v₀
${[\frac{m_{1} + m_{2}}{m_{1} - m_{2}}]}^{\frac{1}{2}}$ v₀
${[\frac{2 m_{1} + m_{2}}{m_{1} m_{2}}]}^{\frac{1}{2}}$ v₀

67.

Match the following

Angular momentum 1. [M^-1 L² T^-2 ]

B. Torque 2 [M¹ L² T^-2

C. Gravitational constant 3.[M¹ L² T^-2]

D. Tension 4.[M¹ L² T^-1]

C- 2, D - 1
A - 4, B - 3
A - 3, C -2
B-2, A - 1

68.

An object start sliding on a frictionless inclined plane and from same height another object start falling freely.

both will reach with same speed
both will reach with same acceleration
both will reach in same time
None of the above

69.

A tangential force acting on the top of sphere of mass m kept on a rough horizontal place as shown in figure

If the sphere rolls without slipping, then the acceleration with which the centre of sphere moves, is

$\frac{10 F}{7 m}$
$\frac{F}{2 m}$
$\frac{3 F}{7 m}$
$\frac{7 F}{2 m}$

70.

Two rigid bodies A and B rotate with rotational kinetic energies E, and E, respectively. The moments of inertia of A and B about the axis of rotation are I_A and I_B respectively.

If $I_{A} = \frac{I_{B}}{2}$ and E_A = 100 = E_B, the ratio of angular momentum (L_A ) of A to the angular momentum ( L_B ) of B is

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Angular momentum	1. [M^-1 L² T^-2 ]
B. Torque	2 [M¹ L² T^-2
C. Gravitational constant	3.[M¹ L² T^-2]
D. Tension	4.[M¹ L² T^-1]

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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions