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Question: A microscope is focused on a mark on a piece of paper and then a slab of glass of thickness 3 cm of ...

A microscope is focused on a mark on a piece of paper and then a slab of glass of thickness 3 cm of refractive index 1.5 is placed over the mark. How should the microscope be moved to get the mark in focus again?

A

4.5 cm downward

B

1 cm downward

C

2 cm downward

D

1cm downward

Answer

1cm downward

Explanation

Solution

: In the later case microscope will be focused for O’

So,it is required to be lifted by distance OO’. OO’ = real depth of O – apparent depth of O

=331.5[μ=realdepth(okLrfodxgjkbZ)apparentdepth(vkHkklhxgjkbZ)]= 3 - \frac{3}{1.5}\left\lbrack \mu = \frac{realdepth(okLrfodxgjkbZ)}{apparentdepth(vkHkklhxgjkbZ)} \right\rbrack

=3[1.511.5]=3×0.51.5=1cm= 3\left\lbrack \frac{1.5 - 1}{1.5} \right\rbrack = \frac{3 \times 0.5}{1.5} = 1cm (up ward)