Question

Two coherent sources of intensities I₁ and I₂ produce an interference pattern on the screen. The maximum intensity in the interference pattern is ______

विकल्प

• `[sqrt(I_1) + sqrt(I_2)]^2`

• `I_1 + I_2`

• `(I_1 + I_2)^2`

• `I_1^2 + I_2^2`

Answer 1

Two coherent sources of intensities I₁ and I₂ produce an interference pattern on the screen. The maximum intensity in the interference pattern is `underline([sqrt(I_1) + sqrt(I_2)]^2)`.

Explanation:

Intensity is proportional to the square of the amplitude.

`I ∝ a^2`

∴ `sqrtI ∝ a`

Maximum intensity is produced when the two amplitudes get added (phase difference is 2nπ).

∴ `I_"max" ∝ (a_1 + a_2)^2` or `I_"max" ∝ (sqrt(I_1) + sqrt(I_2))^2`