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When a pin is moved along the principal ...

When a pin is moved along the principal axis of a small concave mirror, the image position coincides with the object at a point 0.5 m from the mirror refer figure . If the mirror is placed at a depth of 0.2 m in a transparent liquid, the same phenomenon occurs when the pin is placed 0.4 m from the mirror . The refractive index of the liquid is :-

A

`6//5`

B

`5//4`

C

`4//3`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
D
Image position coincides with the object when an object is placed on centre of curvature i.e. R= 0.5m when transparent liquid is filled then phenomenon occurs when the pin placed 0.4 m from mirror i.e. effective distance must be 0.5 again
`0.2 + mu 0.2 = 0.5` , `mu= 3//2`
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Knowledge Check

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