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An object kept on the principle axis is ...

An object kept on the principle axis is moving in the same direction as that of mirror is `10m//s` and `40//13m//s`. Radius of the curvature of the mirror is 20 cm. What should be the distance of object from the mirror at this instant so that the image is stationary?

A

45 cm

B

37.5 cm

C

25 cm

D

15 cm

Text Solution

Verified by Experts

The correct Answer is:
C
`vecV_(im)=(v^(2))/(u^(2))vecv_(om)`
`0-(40)/(13)=-((-10)/(-10+x))^(2)(10-(40)/(13))`
`=(-10)/(-10+x)=+-(2)/(3)`
`x=25,-5cm`
Object is infront of mirror
Hence `25cm`
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