wave_mechanics interference_and_superposition_of_waves Question 19

Question: The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be

[AMU 2000]

Options:

A) 1 : 25

B) 25 : 1

C) 9 : 4

D) 4 : 9

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{{I _{\max }}}{{I _{\min }}}={{( \frac{\sqrt{\frac{I _{1}}{I _{2}}}+1}{\frac{\sqrt{I _{1}}}{\sqrt{I _{2}}}-1} )}^{2}}={{( \frac{\sqrt{\frac{9}{4}}+1}{\sqrt{\frac{9}{4}}-2} )}^{2}}=\frac{25}{1} $



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