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Two uniform strings A and B made of stee...

Two uniform strings A and B made of steel are made to vibrate under the same tension. If the first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the lengths of the strings is :-

A

1 : 2

B

1 : 3

C

1 : 4

D

1 : 6

Text Solution

Verified by Experts

The correct Answer is:
B
first overtone of string A= second overtone of string B.
`implies ` second harmonic of A = third harmonic of B
`implies N_(2)=n_(3)implies [2(n_(1))]_(A)=[3(n_(1))]_(B)`
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