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Question

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


A
2cm upwards
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B
2cm downwards
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C
1cm upwards
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D
1cm downwards
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Solution

The correct option is A $$1$$cm upwards
Given, 
The refractive index of the glass is $$n=1.5$$
The thickness of the glass slab is $$ h_o=3$$cm

Refractive index is given as:
$$n=\displaystyle\frac{h_o}{h_i}$$

$$1.5=\displaystyle\frac{3}{h_i}$$

$$\displaystyle h_i=\frac{3}{1.5}=2\ cm$$

So, the microscope needs to be shifted upwards by:
 $$h'=3-2=1\ cm$$ upwards.

Physics

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