Solveeit Logo

Question

Question: A thin glass prism of m = 1.5 is immersed in water of m = 1.33. The ratio of deviation of the ray in...

A thin glass prism of m = 1.5 is immersed in water of m = 1.33. The ratio of deviation of the ray in water to that in air for the same prism is-

A

1 : 4

B

1 : 2

C

1 : 8

D

1 : 3

Answer

1 : 4

Explanation

Solution

In air d = (1.5 – 1) A = A/2

In water d = (μgμw1)A=(1.51.331)A=A8\left( \frac { \mu _ { \mathrm { g } } } { \mu _ { \mathrm { w } } } - 1 \right) \mathrm { A } = \left( \frac { 1.5 } { 1.33 } - 1 \right) \mathrm { A } = \frac { \mathrm { A } } { 8 }

δ in water δ in air =14\frac { \delta \text { in water } } { \delta \text { in air } } = \frac { 1 } { 4 }