Question

ratio of intensity of two waves is 25:1.The ratio of maximum and minimum intensities produced by their interference will be​

Answer 1

Explanation:

Assume there are two waves of amplitudes A1 and A2 with no loss of generality assume A1>A2.

These two waves upon being superimposed would give us waves:

Maximum amplitude = A1+A2

Minimum amplitude = A1−A2

Since intensity is proportional to the square of amplitude.

IminImax=(A1−A2A1+A2)2

Upon substituting this ratio = 25 and solving,

We get, A2A1=23

Hence both assertion and reason are true, reason is the correct explanation,

Hence option A.