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The standing waves are generated by pluc...

The standing waves are generated by plucking a guitar string. The length of the string `(l)`must be equal to a whole number times

A

`lambda`

B

`(lambda)/(2)`

C

`(lambda)/(3)`

D

`(lambda)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Length of the string `=n (lambda//2)`, where `n = 1, 2, 3, ….`.The only waves that are possible are those in which a whole number of half-wavelengths fits into the string length. These allowed waves constitute a harmonic series. Any total motion of the string is some combination of these allowed harmonics.
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