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A plane mirrorr is approaching you at a ...

A plane mirrorr is approaching you at a speed of `10cm//sec`.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_(2)I_(2) = b`
At `M_(2)` position of mirror.
`OM_(1) = M_(1)I_(1) = a`
Distance `(OI_(1))` = 2a at some instant
Distance `(OI_(2))` = 2b after 1 second
Distance travelled by mirror = `M_(1)M_(2) = (a - b)`
Distance travelled by image = `I_(1)I_(2) = 2a - 2b = 2(a - b)`
`therefore` Speed of image = 2 (a - b) = `2 xx` speed of mirror
`= 2 xx 10= 20 cm//s`
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