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Question

Ratio of maximum to minimum intensity is 25:16.Calculate ratio of intensities:-

A
5:4
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B
4:5
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C
9:1
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D
81:1
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Solution

The correct option is D 81:1
Ratio of maximum to minimum intensity =25:16
ratio of intensities =
I1I2=(a1a2)2=?
ImaxImin=(a1+a2)2(a1a2)2
ImaxImin=2516
a1+a2=5
a1a2=4–––––––––––
2a1=9
or, a1=9/2
a2=59/2=1092=12
I1I2=(9/2)2(1/2)2=814×4=81:1

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