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 :

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 : (A) 14 cm below flat surface (B) 30 cm below flat surface (C) 20 cm below flat surface (D) 16 cm below flat surface

Tardigrade Admin · Accepted Answer

(1/V)+(1/-4)=(1/-5) (1/V)=(1/4)-(1/5)=(5-4/20) V=20 cm

I 1 acts as object for plane surface d'=( d / n rel )=(30/1.5) d '=(300/15)=20 cm 20 cm below plane surface

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

14 cm below flat surface

30 cm below flat surface

20 cm below flat surface

16 cm below flat surface

$\frac{1}{V} + \frac{1}{- 4} = \frac{1}{- 5}$
$\frac{1}{V} = \frac{1}{4} - \frac{1}{5} = \frac{5 - 4}{20}$
$V = 20 c m$

$I_{1}$ acts as object for plane surface
$d^{'} = \frac{d}{n _{re l}} = \frac{30}{1.5}$
$d^{'} = \frac{300}{15} = 20 c m$
$20 c m$ below plane surface

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 :