1.

A ray of light strikes a horizontal plane mirror at an angle of 45^(@). At what angle should a second plane mirror be placed in order that the reflected ray finally be refracted horizontally from the second mirror:

Answer»

`22.5^(@)` with horizontal
`67.5^(@)` with horizontal
`45^(@)` with horizontal
`75^(@)` with horizontal.

Solution :
From fig. `theta + theta + 45^(@) = 180^(@)`
So `"" theta = 67.5^(@)`
Also `"" angle PCM_(2) = 90^(@)`
`angle DCM_(2) = 90^(@) - 90^(@) - 67.5^(@)`
`=22.5^(@)` with horizontal.


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