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Question: Answered & Verified by Expert
In Young's double slit experiment if the slit widths are in the ratio $1: 9 .$ The ratio of the intensity at minima to that at maxima will be
PhysicsWave OpticsMHT CETMHT CET 2011
Options:
  • A 1
  • B $1 / 9$
  • C 1,4
  • D $1 / 3$
Solution:
1916 Upvotes Verified Answer
The correct answer is: 1,4
Amplitude of the superimposing waves are
$$
\begin{array}{l}
\frac{a_{1}}{a_{2}}=\left(\frac{1}{9}\right)^{1 / 2}=\frac{1}{3} \\
\frac{I_{\operatorname{minima}}}{I_{\operatorname{maxima}}}=\frac{\left(a_{1}-a_{2}\right)^{2}}{\left(a_{1}+a_{2}\right)^{2}}=\frac{1}{4}
\end{array}
$$

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