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Question: In Young's experiment, the ratio of maximum and minimum intensities in the fringe system is 9 : 1. T...

In Young's experiment, the ratio of maximum and minimum intensities in the fringe system is 9 : 1. The ratio of amplitudes of coherent sources is –

A

9 : 1

B

3 : 1

C

2 : 1

D

1 : 1

Answer

2 : 1

Explanation

Solution

Imax⁡Imin⁡\frac{I_{\max}}{I_{\min}}= 91\frac{9}{1}= (a1+a2)2(a−a2)2\frac{(a_{1} + a_{2})^{2}}{(a - a_{2})^{2}} ̃ a1+a2a−a2\frac{a_{1} + a_{2}}{a - a_{2}}= 31\frac{3}{1}

̃ 2a12a2\frac{2a_{1}}{2a_{2}}= 3+13−1\frac{3 + 1}{3 - 1}= 21\frac{2}{1}