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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If the critical angle of a medium is sin-1(3/5), find the polarising angle.

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प्रश्न

If the critical angle of a medium is sin-1(3/5), find the polarising angle.

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उत्तर

Given : 

The critical angle is given as

sinθc = 1/n

`therefore theta_c=sin^-1(1/n)`  ...(1)

It is given that

`theta_c=sin^-1(3/5)`

`therefore sin^-1(1/n)=sin^-1(3/5)` ...........form (1)

`therefore 1/n=3/5`

`therefore n=5/3`

Now, the polarising angle is given as

`theta_p=tan^-1 n`

`theta_p=tan^(-1)(5/3)`

`theta_p=tan^(-1)(1.667)`

`theta_p=59^@2'`

the polarising angle is `59^@2'`

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2014-2015 (March)

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