STANDARDPhysics-Waves

STANDARD Physics Stationary Waves MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The transverse displacement of a string clamped at its both ends is given by y(x, t) = 2sin(2π/3 x)cos(100πt), where x and y are in cm and t is in s. Which of the following statements is correct?

A

All the points on the string between two consecutive nodes vibrate with same frequency, phase and amplitude.

B

All the points on the string between two consecutive nodes vibrate with same frequency and phase but different amplitude.

C

All the points on the string between two consecutive nodes vibrate with different frequency and phase but same amplitude.

D

All the points on the string between two consecutive nodes vibrate with different frequency, phase and amplitude.

Correct Answer

Option B

Detailed Explanation

The given equation represents a stationary wave. Therefore, all the points between consecutive nodes vibrate with same frequency and same phase but different amplitude.

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