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Question

Physics Question on Optical Instruments

A microscope is focused on a mark on a piece of paper and then a slab of glass of thickness 3cm3 \,cm and refractive index 1.51.5 is placed over the mark. How should the microscope be moved to get the mark in focus again?

A

1 cm upward

B

4.5 cm downward

C

1 cm downward

D

2 cm upward

Answer

1 cm upward

Explanation

Solution

Apparent depth of mark as seen through a glass slab of thickness xx and refractive index μ\mu , is Apparent depth =Real depthRefractive index=\frac{\text{Real depth}}{\text{Refractive index}} or x=xμ=31.5=2cmx=\frac{x}{\mu }=\frac{3}{1.5}=2 \,cm As image appears to be raised by 1cm1 \,cm, therefore, microscope must be moved upward by 1cm1 \,cm