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In the given figure, two mirrors X and Y...

In the given figure, two mirrors X and Y are situated at an angle of `60^(@)` with each other and a ray of light is incident on mirror X at an angle of `50^(@)`. When the ray is reflected by the mirror Y, then what is angle of reflection at this mirror?

A

`35^(@)`

B

`55^(@)`

C

`50^(@)`

D

`20^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
In `DelltaOAB`
`angleOAB+angleAOB+theta=180^(@)`
`therefore50^(@)+60^(@)+theta=180^(@)`
or `theta=180^(@)-110^(@)=70^(@)`
`becausetheta+i=90^(@)`
`thereforei=90^(@)-70^(@)=20^(@)`
As we know `anglei=angler`
`thereforeangler=20^(@)`
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