A and B are two wave trains shown in the figure, the ratio of intensity of A to B is

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Solution

The correct option is A $1$
Intensity can be related to amplitude and frequency as $I \propto x_{0}^{2}$ and $I \propto f^{2}$
From graph of $A, x_{0 A} = 2 x_{0}$ and $f_{0 A} = f_{0}$
From graph of $B, x_{0 B} = x_{0}$ and $f_{0 B} = 2 f_{0}$
$∴ \frac{I_{A}}{I_{B}} = \frac{(2 x_{0})^{2} f_{0}^{2}}{(2 f_{0})^{2} x_{0}^{2}} = 1$ .

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A and B are two wave trains shown in the figure, the ratio of intensity of A to B is

The correct option is A 1Intensity can be related to amplitude and frequency as I∝x20 and I∝f2 From graph of A, x0A=2x0 and f0A=f0 From graph of B, x0B=x0 and f0B=2f0 ∴IAIB=(2x0)2f20(2f0)2x20=1.