Upolarised light of intensity 32 W `m^(-2)` passes through three polarisers such that transmission axis of first is crossed with third. If intensity o

Question

Upolarised light of intensity 32 W `m^(-2)` passes through three polarisers such that transmission axis of first is crossed with third. If intensity o

Upolarised light of intensity 32 W `m^(-2)` passes through three polarisers such that transmission axis of first is crossed with third. If intensity of emerging light is 2 W `m^(-2)`, what is the angle of transmission axis between the first two polarisers?
A. `30^(@)`
B. `45^(@)`
C. `22.5^(@)`
D. `60^(@)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - C
Let `theta` be angle between the axis of the first two polarisers then obviously `(90^(@)-theta)` is the angle between `2^(nd)` and `3^(rd)` polarisers.
` :.I=(I_(0))/(2)"cos"^(2)theta "cos"^(2)(90-theta)`
or `2=(32)/(2)"cos"^(2)theta "cos"^(2)(90-theta)=16"cos"^(2)theta "sin"^(2)theta`
`(2sin theta cos theta)^(2)=(1)/(2) " or " sin^(2)2theta=(1)/(2) :. sin2theta=(1)/(sqrt(2))`
` :. 2theta=45^(@) " or "theta=22.5^(@ )`