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If f1, f2 and f3 are the fundamental fre...

If `f_1, f_2 and f_3` are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency `f_0` of the whole string is

A

`(1)/(v)=(1)/(v_(1))+(1)/(v_(2))+(1)/(v_(3))`

B

`(1)/(sqrt(v))=(1)/(sqrt(v_(1)))+(1)/(sqrt(v_(2)))+(1)/(sqrt(v_(3)))`

C

`sqrt(v)=sqrt(v_(1))+sqrt(v_(2))+sqrt(v_(3))`

D

`v=v_(1)+v_(2)+v_(3)`

Text Solution

Verified by Experts

The correct Answer is:
A

Length of the string `l=l_(1)+l_(2)+l_(3)`
Also `upsilon prop (1)/(l)`
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