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A polarizer-analyser set is adjusted suc...

A polarizer-analyser set is adjusted such that the intensity of light coming out of the analyser is just 12.5 % of the original intensity of light incident on the polarizer. Assuming that the polarizer-analyser set does not absorb any light, the angle by which the analyser need to be rotated in any sense to increase the output intensity to double of the previous intensity, is :

A

`15^@`

B

`30^@`

C

`45^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
A
`I_1 = (I_0)/(2) cos^2 theta_1 implies (I_0)/8 = (I_0)/(8) cos^2 phi , implies cos theta_1 = 1/2 implies theta_1 = 60^@`
`I_2 = (I_0)/(2) cos^2 theta_2 implies (I_0)/(4) = (I_0)/(2) cos^2 theta_2 implies theta_2 = 45^@`
Angle of rotation is
`Delta theta = (theta_1 - theta_2) = 60^@ - 45^@ = 15^@`.
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