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Optical Path Length

A microscope ...

Question

A microscope is focused on an ink mark on the top of a table. If we place a glass slab 3cm thick on it, how should the microscope be moved to focus the ink spot again? The refractive index of glass slab is 1.5 cm.

A

2 cm upwards

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B

1 cm downwards

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C

2 cm downward

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D

1 cm upwards

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Solution

The correct option is D
1 cm upwards

The image of the ink spot moves up by 1cm.
Refractive index = Real depth/ apparent depth

1.5 = 3/ apparent depth

Apparent depth = 3/1.5 = 2 cm

Distance through which the microscope is moved is 3 cm -2 cm = 1 cm upwards

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