MCQ
Two waves have their amplitudes in the ratio $1: 9$. The maximum and minimum intensities when they interfere are in the ratio
  • $\frac{25}{16}$
  • B
    $\frac{16}{26}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{9}{1}$

Answer

Correct option: A.
$\frac{25}{16}$
$\frac{I_{\max }}{I_{\min }}=\left(\frac{\frac{a_1}{a_2}+1}{\frac{a_1}{a_2}-1}\right)^2=\left(\frac{\frac{1}{9}+1}{\frac{1}{9}-1}\right)^2=\left(\frac{5}{4}\right)^2=\frac{25}{16}$.

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