Question

In the interference of two sources of intensities I₀ and 9I₀ the intensity at a point where the phase difference is `pi/2` is ______.

Options

• 10 I₀

• 8 I₀

• `sqrt(82I_0)`

• 4 I₀

Answer 1

In the interference of two sources of intensities I₀ and 9I₀ the intensity at a point where the phase difference is `pi/2` is 10 I₀.

Explanation:

I = `"I"_0^2 + 9"I"_0 + 2sqrt("I"_0 xx 9"I"_0) cos  pi/2`

I = 10 I₀