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A string vibrates in 4 segments to a fre...

A string vibrates in 4 segments to a frequency of 400 Hz.
(a) What is its fundamental frequency?
(b) What frequency will cause it to vibrate into 7 segments?

Text Solution

Verified by Experts

The correct Answer is:
(a) `100 Hz` , (b) `700 Hz`
(a)
`2lambda = l`
`4f_(0) = 400 rArr f_(0) = 100 Hz`
(b)
`(7lambda)/(2) = lambda rArr lambda = (2l)/(7)`
`(v )/(f) = (2l)/(7) :. f = (7v)/(2l) = 700 Hz`
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