Q.

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

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a

14 cm below flat surface

b

20 cm below flat surface

c

16 cm below flat surface

d

30 cm below flat surface

answer is B.

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Detailed Solution

Given, radius of hemisphere glass R=10cm
 Focal length  f=102=5cm
u=(106)=4cm 
By using mirror formula
 1v+1u=1f 1v+14=15 v=20cm
Apparent height,  ha=hrμ1μ2=30×11.5=20cm
Below flat surface
 

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