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What is the percentage change in the ten...

What is the percentage change in the tension necessary in a somometer 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 somometer `VpropsqrtT`
`:. (V_1)/(V_2)=2=sqrt((T_1)/(T_2)) impliesT_2=(T_1)/(4)`
`(T_1-T_2)/(T_1)xx100=(T_1-(T_1)/(4))/(T_1)xx100=75%`
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