Optics Question 799

Question: A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen:

Options:

A) 14 cm below flat surface

B) 20 cm below flat surface

C) 16 cm below flat surface

D) 30 cm below flat surface

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Given, radius of hemispherical glass R=10cm

Focal length f=102=5cm

u=(106)=4cm.

By using mirror formula, 1v+1u=1f1v+14=15v=20cm.

Apparent height, ha=hrμ1μ2=30×11.5=20cm below flat surface.



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