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When a string is divided into three seg...

When a string is divided into three segments of
lengths `l_(1),l_(2) and l_(3)` the fundamental frequencies of
these three segments are `v_(1), v_(2) and v_(3)` respectively.
The original fundamental frequency (v) of the 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

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The correct Answer is:
A
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