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In the figure ABC is the cross-section o...

In the figure ABC is the cross-section of a right angled prism and BCDE is the cross-section of a glass slab. The value of theta so that light incident normally on the face AB does not cross the face BC is `(Given sin^-1 3//5=37^@)`

A

`thetale37^(@)`

B

`thetagt37^(@)`

C

`thetale53^(@)`

D

`thetalt53^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A


For total internal reflection `rArr`` 90^(@)-thetageC`
`90^(@)-Cgetheta……(1)`
For refraction at surface Bc
`(3)/(2)"sin" C =(3)/(5)sin 90^(@) rArr sinC=(4)/(5)`
`C=53^(@)......(2)` from 1&2 `rArr 90^(@)-53^(@)getheta rArr 37^(@)getheta`
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