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  • A uniform string of length L and mass M is fixed at both ends, while it is subjected to a tension T. It can vibrate at frequencies given by the formula:Option: 1

A uniform string of length L and mass M is fixed at both ends, while it is subjected to a tension T. It can vibrate at frequencies given by the formula:

Option: 1

v = \frac{n}{2}\sqrt{\frac{T}{ML}}


Option: 2

v = \frac{n}{2L}\sqrt{\frac{T}{M}}


Option: 3

v = \frac{n}{2n}\sqrt{\frac{T}{L}}


Option: 4

v = \frac{n}{2}\sqrt{\frac{T}{M}}


Answers (1)

best_answer

The frequency of the nth harmonic, emitted due to the vibration of a stretched string is:

v = \frac{n}{2L}\sqrt{\frac{T}{m}}   where     m = \frac{M}{L}

    = \frac{n}{2L}\sqrt{\frac{TL}{M}}

    = \frac{n}{2}\sqrt{\frac{T}{ML}}

Posted by

Pankaj

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