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A plane mirror is approaching you at a s...

A plane mirror is approaching you at a speed of 10 cm/s. you can see your image in it. At what speed will your image approach you ?

A

20 cm/s

B

15 cm/s

C

10 cm/s

D

5 cm/s

Text Solution

Verified by Experts

The correct Answer is:
A
Distance of object=distance of image at `M_(1)` position of mirror

`OM_(1)=M_(1)l_(1)=a`
At `M_(2)` position of mirror, `OM_(2)=M_(2)l_(2)=b`
Distance `(Ol_(1))=2a` at some instant
Distance `(Ol_(2))=2b` after 1 second
Distance travelled by mirror`=M_(1)M_(2)=(a-b)`
Distance travelled by image=`l_(1)l_(2)=2a-2b=2(a-b)`
`therefore`Speed of image`=2(a-b)=2xx`speed of mirror
`=2xx10=20cm//s`
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