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QJEEM16Ph72ea: JEE Main 2016 Physics - Class 12 JEEM16Ph72ea Solution: A hemispherical glass body of radius 10 cm and refractive index …

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 :

JEE Main 2016 (Online) 10th April Morning Slot Physics - Geometrical Optics Question 180 English

JEE Main 2016 (Online) 10th April Morning Slot Physics - Geometrical Optics Question 180 English

Multiple Choice Options

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

Step-by-Step Verified Solution

JEE Main 2016 (Online) 10th April Morning Slot Physics - Geometrical Optics Question 180 English Explanation 1

Using mirror formula.

\frac{1}{v} + \frac{1}{- 4} = \frac{1}{- 5}

\Rightarrow \frac{1}{v} = \frac{1}{4} - \frac{1}{5} = \frac{1}{20}

\Rightarrow v = 20

cm

∴

Image distance is 20 cm

JEE Main 2016 (Online) 10th April Morning Slot Physics - Geometrical Optics Question 180 English Explanation 2

JEE Main 2016 (Online) 10th April Morning Slot Physics - Geometrical Optics Question 180 English Explanation 2

I₁ acts as object for plane glass surface.

∴

Appartent depth =

\frac{R + v}{μ} = \frac{30}{1.5} = 20

cm

∴

Position of the image of the air bubble is 20 cm below the flat surface.

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