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  • 'n' polarizing sheets are arranged such that each makes an angle with the preceeding sheet. An unpo

'n' polarizing sheets are arranged such that each makes an angle 45\degree with the preceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be I/64. The value of n will be:

Option: 1

4


Option: 2

3


Option: 3

5


Option: 4

6


Answers (1)

best_answer

According to Malus law:

\begin{aligned} & \mathrm{I}=\frac{\mathrm{I}_0}{2}\left[\cos ^2 45 \times \cos ^2 45 \times \cos ^2 45 \times \ldots(\mathrm{n}-1) \text { times }\right] \\ & \frac{\mathrm{I}_0}{64}=\frac{\mathrm{I}_0}{2} \times\left(\frac{1}{2}\right)^{\mathrm{n}-1} \\ & \frac{1}{32}=\frac{1}{2^{\mathrm{n}-1}} \Rightarrow \frac{1}{(2)^5}=\frac{1}{2^{\mathrm{n}-1}} \\ & \therefore \mathrm{n}-1=5 \\ & \therefore \mathrm{n}=6 \end{aligned}

Posted by

Deependra Verma

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