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Find the displacement of the ray after i...

Find the displacement of the ray after it imerges from `CD`
.

A

`2.5 cm`

B

5 cm

C

1 cm

D

`(sqrt(13))/(3) cm`

Text Solution

Verified by Experts

The correct Answer is:
A
by shell's law `2 sin 30^(@) = sqrt(13) sin r`
`1 = sqrt(13) sin r`
`sin gamma =(1)/(sqrt(13)), tan r=(1)/(sqrt(12))`
So, lateral displacement `= (t sin (i-r))/(cos r)`
`= (t[sin(i)cos r-cos(i)sinr])/(cos r)`
`=t[sin i-cos i tan r]`
`10[sin30-cos 30 xx (1)/(sqrt(12))]`
`= 10[(1)/(2)-(sqrt(3))/(2)xx(1)/(2 sqrt(3))]=2.5 cm`.
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RESONANCE ENGLISH-DAILY PRACTICE PROBLEM-DPP No.9
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  9. A ray of light (R(1)) is incident on a glass slab at an angle equal to...

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