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

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

A

9 : 1

B

1 : 9

C

4 : 1

D

1 : 4

Answer

9 : 1

Explanation

Solution

Imax⁡Imin⁡=(a1a2+1a1a2−1)2=(2+12−1)2=9/1\frac{I_{\max}}{I_{\min} = \left( \frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1} \right)^{2} = \left( \frac{2 + 1}{2 - 1} \right)^{2} = 9/1}