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What is the percentage change in the ten...

What is the percentage change in the tension necessary in a sonometer of fixed length to produce a note one octave lower (half of original frequency) than before?

A

`25%`

B

`50%`

C

`67%`

D

`75%`

Text Solution

Verified by Experts

The correct Answer is:
D
In sonometer
`Valpha sqrt(T)`
`:. (V_(1))/(V_(2))=2=sqrt((T_(1))/(T_(2)))rArr T_(2)=(T_(1))/4`
`:. ` % change
`(T_(1)-T_(2))/(T_(1))xx100=(T_(1)-(T_(1))/4)/(T_(1))xx100=75 %`
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