Two polaroids have their polarizing directions parallel so that the...

Two polaroids have their polarizing directions parallel so that the intensity of a transmitted light is maximum. The angle through which either polaroid must be turned if the intensity is to drop by one-half is

Options

A $135^{\circ}$
B $90^{\circ}$
C $120^{\circ}$
D $180^{\circ}$

Correct answer

A. $135^{\circ}$

Step-by-step solution

For

I=\frac{I_0}{2} and

I=I_0 \cos ^2 \theta=\frac{I_0}{2} \therefore \theta=45^{\circ}

Therefore the angle through which either polaroids turned is

135^{\circ}\left(=180^{\circ}-45^{\circ}\right)

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