Question

The transverse displacement of a string clamped at its both ends is given by
`y(x,t)=2sin((2pi)/3x)cos(100pit)`
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

Answer 1

Correct Answer - B
The given equation is
`y(x,t)=2sin((2pi)/3x)cos(100pit)`
It represents a stationary wave. Therefore, all the points between consecutive nodes vibrate with same frequency and same phase but different amplitude.