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A plane mirror M is arranged parallel to...

A plane mirror M is arranged parallel to a wall W at a distance l from it. The light produced by a point source S kept on the wall is reflected by the mirror and produces a patch of light on the wall. The mirroo moves with velocity v towards the wall.
Which of the following statement(s) is`//`are correct?

A

The patch of light will move with the speed `v` on the wall.

B

The patch of light will not move on the wall.

C

As the mirror comes closer the patch of light will become larger and shift away from the wall with speed large than `v` .

D

The widht of the light patch on the wall remains the same.

Text Solution

Verified by Experts

The correct Answer is:
b,d


Here, `sp=PA` and `SQ=QB`
so, position of `A` and `B` dcedn't depend on separation of mirror from the eall so, the patch `AB` will not move on the wall ` therefore ` `SA` and `SB` are constant
So, `AB` = constant.
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