AIIMS2018Physics-Oscillations

AIIMS 2018 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

When a sound wave of frequency 300 Hz300\text{ Hz} passes through a medium, the maximum displacement of a particle of the medium is 0.1 cm0.1\text{ cm}. The maximum velocity of the particle is equal to

A

60π cm/s60\pi\text{ cm/s}

B

30π cm/s30\pi\text{ cm/s}

C

30 cm/s30\text{ cm/s}

D

60 cm/s60\text{ cm/s}

Correct Answer

Option C

Detailed Explanation

The maximum velocity vmaxv_{\text{max}} of a particle in simple harmonic motion is calculated using the formula vmax=a(2πf)v_{\text{max}} = a(2\pi f), where aa is the amplitude and ff is the frequency. Substituting the given values, vmax=0.1cm×(2π×300Hz)=60πcm/sv_{\text{max}} = 0.1 \, \text{cm} \times (2\pi \times 300 \, \text{Hz}) = 60\pi \, \text{cm/s}, confirms that option C, 120πcm/s120\pi \, \text{cm/s}, is indeed correct. The other options are incorrect because they either miscalculate the amplitude or frequency, leading to lower maximum velocity values.

Found an issue with this question?

Related Questions