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A stretched string of length L fixed at ...

A stretched string of length L fixed at both the ends has nodes, where `n gt 2`. What is the length of the string in terms of n and `lambda` ?

A

`L = (n lambda)/2`

B

`L = n lambda`

C

`L = ( n + 1) lambda/2`

D

`L = ( n - 1) lambda/2`

Text Solution

Verified by Experts

The correct Answer is:
D
For n nodes, there are `(n - 1)` loops .
If ` n = 4, L = (3lambda)/ 2 = (4 - 1) lambda/2`
In general ` L = (n - 1) lambda/2`
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