Question

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5° from the polarization axis of one of the polaroids, is (I₀ is the intensity or polarised light after passing through the first polaroid):

Options

• `(I_0)/2`

• `(I_0)/4`

• `(I_0)/8`

• `(I_0)/16`

Answer 1

`(I_0)/8`

Explanation:

(I₀ cos²θ) cos²(90° − θ)

= `(I_0)/4 sin^2 (2θ)`

= `(I_0)/4 sin^2 (2 xx 22.5°)`

= `(I_0)/4 sin^2 (45°)`

= `(I_0)/8`