First slide

Superposition of waves

Question

If the ratio of amplitude of wave is 2 : 1, then the ratio of maximum and minimum intensity is

Moderate

A

9 : 1
B

1 : 9
C

4 : 1
D

1 : 4

Solution

$\frac{I_{\max}}{I_{\min}} = {(\frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1})}^{2} = {(\frac{2 + 1}{2 - 1})}^{2} = 9 / 1$

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