Question

The angle between pass axis of polarizer
and analyzer is 45°. The percentage of
polarized light passing through analyzer is :-

1) 75%
2) 25%
3) 50%
4) 100%​

Answer 1

The percentage of polarized light passing through analyzer is 50%

Explanation:

Given:

The angle between pass axis of polarizer and analyzer is 45°

To find out:

The percentage of light passing through the analyzer

Solution:

We know that

Intensity o light passing through analyzer is given by

$I=I_0\cos^2\phi$

Where $\phi$ is the angle between the pass axis of polarizer and analyzer

Here given that $\phi=45^\circ$

Therefore,

$I=I_0\cos^2 45^\circ$

$\implies I=I_0\times(\frac{1}{\sqrt{2}})^2$

$\implies I=\frac{I_0}{2}$

passing percentage $=\frac{1}{2}\times 100\%=50\%$

Hope this answer is helpful.

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