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JEE Physics Solved Question Paper 2017

Multiple Choice Questions

21.
A wheel rotating at 12 rev/sis brought to rest in 6 s. The average angular deceleration in rad/s² of the wheel during this process is

− $4 π$

4

72

$1 / π$

− $4 π$

${w_{1}}^{0} = 12 \times 2 π \frac{rad}{s} = 24 π \frac{rad}{s} w_{f} = 0 ∆ t = 6 s As w_{f} = w_{i} + α ∆ t We have, α = \frac{- w_{i}}{∆ t} = - \frac{24 π}{6} = - 4 π \frac{rad}{\sec^{2}}$

22.

A torque of 1 N-m is applied to a wheel which is at rest. After 2 second the angular momentum in kg-m² /s is

23.

A massless spring of length l and spring constant k is placed vertically on a table. A ball of mass m is just kept on top of the spring. The maximum velocity of the ball is

$g \sqrt{\frac{m}{k}}$
$g \sqrt{\frac{2 m}{k}}$
$2 g \sqrt{\frac{m}{k}}$
$\frac{g}{2} \sqrt{\frac{m}{k}}$

24.

A particle of mass 3 kg, attached to a spring with force constant 48 N/m execute simple harmonic motion on a frictionless horizontal surface. The time period of oscillation of the particle, in seconds, is

$π / 4$
$π / 2$
$2 π$
$8 π$

25.

The position and velocity of a particle executing simple harmonic motion at t = 0 are given by 3 cm/s and 8 cm/s respectively. If the angular frequency of the particle is 2 rad/s, then the amplitude of oscillation, in centimeters, is

26.

A simple harmonic motion is represented by x(t) = sin² ωt − 2 cos² ωt. The angular frequency of oscillation is given by

ω
2ω
4ω
ω/2

27.

A transverse wave in propagating on a stretched string of mass per unit length 32 g/m. The tension on the string is 80 N. The speed of the wave over the string is

5/2 m/s
$\sqrt{5 / 2} m / s$
50 m/s
2/5 m/s

28.

Consider the propagating sound (with velocity 330 m/s) in a pipe of length 1.5 m with one end closed and the other open. The frequency associated with the fundamental mode is

11 Hz
55 Hz
110 Hz
165 Hz

29.

A standing wave propagating with velocity 300 m/s in an open pipe of length 4 m has four nodes. The frequency of the wave is

75 Hz
100 Hz
150 Hz
300 Hz

30.

Consider the vehicle emitting sound wave of frequency 700 Hz moving towards an observer at a speed 22 m/s. Assuming the observer as well as the medium to be at rest and velocity of sound in the medium to be 330 m/s, the frequency of sound as measured by the observer is