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The tension of a stretched string is inc...

The tension of a stretched string is increased by 69%. In order to keep its frequency of vibration constant, its length must be increased by :

A

0.2

B

0.3

C

`sqrt(69)%`

D

0.69

Text Solution

Verified by Experts

The correct Answer is:
B
`l_1/l_2 = sqrt(T_2/T_1) = sqrt(169/100) = 13/10`
`l_1/l_2 = 1.3`
`(l_1-l_2)/(l_2) = 1.3 - 1 0.3`
`(Deltal)/(l) = 30%`
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