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

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The tension in a wire is decreased by

19 %

. The percentage decrease in frequency will be

PhysicsWaves and SoundNEET

Options:

A $19 %$
B $10 %$
C $0.19 %$
D None of these

Solution:

1190 Upvotes Verified Answer

The correct answer is:

10 %

Frequency in transverse wave

n = \frac{1}{2 l} \sqrt{\frac{T}{μ}}

\frac{n_{2}}{n_{1}} = \sqrt{\frac{T_{2}}{T_{1}}} = \sqrt{\frac{81}{100}} = \frac{9}{10}

∴ (\frac{n_{1} - n_{2}}{n_{1}}) \times 100 = 10 %

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