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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 My position of mirror

At `M_(2)` position of mirror ,
`OM_(2) = M_(2) I_(2) =b`
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 = `l_(1)l_(2) =2a-2b = 2 (a - b) `
` :.` Speed of image = 2 (a-b)=2 `xx` speed of mirror
`= 2 xx 10` = 20 cm/s
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