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A string of length L is stretched along ...

A string of length L is stretched along the x-axis and is rigidly clamped at its two ends. It undergoes transverse vibration. If n an integer, which of the following relations may represent the shape of the string at any time :-

A

`y=A sin ((n pi x)/(L)) cos omega t`

B

`y=A sin((n pi x)/(L))sin omega t`

C

`y=A cos ((n pi x)/(L)) cos omega t`

D

`y=A cos ((n pi x)/(L))sin omega t`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`y = 0` at `x = 0`
The can be statisfied by the term `sin ((n pi x)/(L))`
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