Sound WavesHardBloom L3

Question

If the adjacent figure shows the displacement-time curve of common medium particle for two sound waves A and B propagating in the same medium, the ratio of their intensities IA / IB = X. Find the value of X.

Options

A.3
B.1
C.4
D.2

Solution

Sol. $\frac{I_{1}}{I_{2}}$ = $\left( \frac{A_{1}\omega_{1}}{A_{2}\omega_{2}} \right)^{2}$ = $\left\lbrack \frac{2 \times 10^{- 2} \times \left( \frac{2\pi}{200} \right)}{10^{- 2} \times \left( \frac{2\pi}{100} \right)} \right\rbrack^{2}$ = 1

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