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Question

Question: The width of one of the two slits in a Young's double slit experiment is double of the other slit. A...

The width of one of the two slits in a Young's double slit experiment is double of the other slit. Assuming that the amplitude of the light coming from a slit is proportional to the slit width. The ratio of the maximum to the minimum intensity in interference pattern will be

A

1a\frac{1}{a}

B

91\frac{9}{1}

C

21\frac{2}{1}

D

12\frac{1}{2}

Answer

91\frac{9}{1}

Explanation

Solution

AmaxA_{\max} and AminA_{\min}.

Also ImaxImin=(AmaxAmin2=(3AA)2=91)\frac{I_{\max}}{I_{\min} = \left( \frac{A_{\max}}{A_{\min}}^{2} = \left( \frac{3A}{A} \right)^{2} = \frac{9}{1} \right)}