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A diverging lens of focal length 10cm is...

A diverging lens of focal length 10cm is placed 10cm away in front of a plane mirror as shwon in figure. Light from a very far away source falls on the lens. An observer is situated some where in between lens and mirror, and observer is looking towards mirror. The observer will see the image behind teh mirror at a distance.

Text Solution

Verified by Experts

`(1)/(v)-(1)/(u)=(1)/(f)`
`(1)/(v)-(1)/(-30)=+(1)/(-10)`
`rArr (1)/(v)-(-1)/(10)-(1)/(30)=-(4)/(30)rArr v=-7.5`
The final image distance if 2.5 cm in front of the mirror.
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