Question

Two light waves of intensities 'I₁' and 'I₂' having same frequency pass through same medium at a time in same direction and interface. The sum of the minimum and maximum intensities is ______.

Options

• (I₁ + I₂)

• 2(I₁ + I₂)

• `(sqrt("I"_1) + sqrt("I"_2))`

• `(sqrt("I"_1) - sqrt("I"_2))`

Answer 1

Two light waves of intensities 'I₁' and 'I₂' having same frequency pass through same medium at a time in same direction and interface. The sum of the minimum and maximum intensities is 2(I₁ + I₂).

Explanation:

I_max = (a₁ + a₂)² and I_min = (a₁ - a₂)²

I_max + I_min = `"a"_1^2+"a"_2^2+"a"_1^2+"a"_2^2`

= 2`("a"_1^2+"a"_2^2)`

= 2(I₁ + I₂)