Two coherent sources produce waves of different intensities which… - Vidyadip

MCQ

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is $16$. The intensity of the waves are in the ratio

A
$16 : 9$
✓
$25 : 9$
C
$4 : 1$
D
$5 : 3$

✓

Answer

Correct option: B.

$25 : 9$

b
$\left( {\frac{{\sqrt {{I_1}} + \sqrt {{I_2}} }}{{\sqrt {{I_1}} - \sqrt {{I_2}} }}} \right) = \frac{{16}}{1}$ ; $\frac{\sqrt{I_{1}}+\sqrt{I_{2}}}{\sqrt{I_{1}}-\sqrt{I_{2}}}=\frac{4}{1}$

$ \Rightarrow \quad 3\sqrt {{I_1}} = 5\sqrt {{I_2}} $

$\Rightarrow \quad \frac{I_{1}}{I_{2}}=\frac{25}{9}$

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