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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 `0.5m` from the mirror. If the mirror is placed at a depth of `0.2m` in a transparent liquid, the same phenomenon occurs when the pin is placed `0.4m` from the mirror. find the refractive index of the liquid shown in fig.

Text Solution

Verified by Experts

The correct Answer is:
A, C
`|R|=0.5 m` (from first case)
In the shown figure, object appears at distance
`d=mu_e(0.2)+0.2`
Now, for image to further coincide with the object,
`d=|R|`
Solving we get, `mu_e=1.5`
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