First slide

Intensity of

Question

Two waves are represented by
$y_{1} = 5 \sin 2 π (75 t - 0.25 x) y_{2} = 10 \sin 2 π (150 t - 0.50 x)$
The intensity ratio $\frac{l_{1}}{l_{2}}$ of the two waves is

Moderate

A

1 : 2
B

1 : 4
C

1 : 8
D

1 : 16

Solution

$\frac{l_{1}}{l_{2}} = \frac{A_{1}^{2} v_{1}^{2} ρc}{A_{2}^{2} v_{2}^{2} ρc} = {(\frac{5}{10})}^{2} {(\frac{75}{150})}^{2} = \frac{1}{16}$

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