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A ray of sunlight enters a spherical wat...

A ray of sunlight enters a spherical water droplet`(n=4//3)`at an angle of incidence `53^(@)`measured with respect to the normal to the surface.It is reflected from the back surface of the droplet and re-enters into air.The angle between the incoming and outgoing ray is [Take `sin53^(@)=0.8`]

A

`15^(@)`

B

`34^(@)`

C

`138^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

Applying the law of refraction `rArr 1xx53^(@)=(4)/(3)xx sin r`
`(4)/(5)=(4)/(3) "sin" r rArr "sin" r(3)/(5) rArr "sin" r =0.6 rArr r=37^(@) delta_(1)=53^(@)-37^(@)`
`rArr delta_(1)=16^(@) C.W.`
`delta_(2)=180^(@)-2xx37^(@) rArrdelta_(2)=106^(@)` C.W
`delta_(3)=53^(@)-37^(@) rArr delta_(3)=16^(@)C.W.`
`delta_("net")=delta_(1)+delta_(2)+delta_(3)=138^(@)`
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