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Intensity Amplitude Relationship

If an interfe...

Question

If an interference pattern have maximum and minimum intensities in $36 : 1$ ratio then what will be the ratio of amplitudes

A

5 : 7

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B

7 : 4

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C

4 : 7

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D

7 : 5

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Solution

The correct option is D $7 : 5$
$\frac{I_{m a x}}{I_{m i n}} = {⎛ ⎜ ⎜ ⎝ \frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1} ⎞ ⎟ ⎟ ⎠}^{2} = \frac{a_{1} + a_{2}}{a_{1} - a_{2}} = 6$
$\frac{a_{2}}{a_{1}} = 7 : 5$

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