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Question

Question: If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity wil...

If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be

A

16 : 18

B

18 : 16

C

49 : 1

D

1 : 49

Answer

49 : 1

Explanation

Solution

ImaxImin=(a1a2+1a1a21)2=(43+1431)2=491\frac{I_{\max}}{I_{\min} = \left( \frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1} \right)^{2} = \left( \frac{\frac{4}{3} + 1}{\frac{4}{3} - 1} \right)^{2} = \frac{49}{1}}