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Two plane mirrors are inclined at 70^@. ...

Two plane mirrors are inclined at `70^@`. A ray incident on one mirror at incidence angle `theta` after reflection falls on the second mirror and is reflected from there parallel to the first mirror, The value of `theta` is

A

`50^@`

B

`45^@`

C

`30^@`

D

`55^@`

Text Solution

Verified by Experts

The correct Answer is:
A

From `Delta ` law
`x = 180^@ - (90^@ - q) - 70^@`
`implies x = 20 + q`
According to the question : AB is parallel to `r_c = 70^@`
also due to reflection `x = y implies 20 + q = 70^@`
`implies q = 50^@`
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  • Two plane mirrors are inclined at 70^(@) A ray incident on one mirror at angle theta . After reflection, falls on the second mirror and is reflected from there parallel to the first mirror theta is

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    B
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    C
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    D
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