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The reflecting surface of two intersecti...

The reflecting surface of two intersecting flat mirrors are at an angle `theta (0^(@) lt theta lt 90^(@))`. As shown in Figure. For a light ray that strikes the horizontal mirror, the emerging ray intersects the incident ray at an angle `beta` . If one of the mirrors is rotated at `(d theta)/(dt) = 1^(@)//s`, then the angle `beta` changes aat the rate of

A

`1^(@)//s`

B

`2^(@)//s`

C

`-1^(@)//s`

D

`-2^(@)//s`

Text Solution

Verified by Experts

The correct Answer is:
D
From geometry `beta = (180^(@) - 2 theta)`
So, `(d beta)/(dt) = -(2 d theta)/(dt)`
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