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Question: A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. ...

A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is 10 cm and refractive index of glass is 1.5. The position of the image will be:

A

-20 cm

B

30 cm

C

40 cm

D

-10 cm

Answer

-20 cm

Explanation

Solution

: As refraction occurs from denser to rarer medium

Here,

1.510+1v=1−1.5−5=110\frac { 1.5 } { 10 } + \frac { 1 } { v } = \frac { 1 - 1.5 } { - 5 } = \frac { 1 } { 10 }

or 1v=110−320=−120⇒v=−20 cm\frac { 1 } { v } = \frac { 1 } { 10 } - \frac { 3 } { 20 } = \frac { - 1 } { 20 } \Rightarrow \mathrm { v } = - 20 \mathrm {~cm}