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Question

The tension in a wire is decreased by 19% The percentage decrease in frequency will be

A
0.19%
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B
10%
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C
19%
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D
0.9%
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Solution

The correct option is D 10%
GIven,
T1=100$
T2=10019=81%
The frequency is proportional to the square root of tension.
fT
f1f2=T1T2
f1f2=10081=109
The percentage change in frequency will be
=1f2f1×100$
=1910×100=110×100
=10%
The correct option is B.

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