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Question

Physics Question on Wave optics

The ratio of the intensities of two waves is 16 : 9. The ratio of their amplitudes is

A

4:03

B

3:04

C

I : 2

D

2 : l

Answer

4:03

Explanation

Solution

Let a1a_1 and a2a_2 be the amplitudes of the waves and intensities I1I_1 and I2I_2, then
I1I2=a12a22=169\frac{I_1}{I_2} = \frac{a_1^2}{a_2^2} = \frac{16}{9}
a1a2=43\therefore \frac{a_1}{a_2} = \frac{4}{3}