If a thin prism of glass is dipped into water | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For a thin prism,the angle of minimum deviation is given by $\delta = (\mu - 1)A$.When the prism is in air,the deviation is $\delta_a = (_a\mu_g -

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(B) For a thin prism,the angle of minimum deviation is given by $\delta = (\mu - 1)A$.When the prism is in air,the deviation is $\delta_a = (_a\mu_g - 1)A$.When the prism is in water,the refractive index of glass with respect to water is $_w\mu_g = \frac{_a\mu_g}{_a\mu_w} = \frac{3/2}{4/3} = \frac{9}{8}$.The deviation in water is $\delta_w = (_w\mu_g - 1)A = \left( \frac{9}{8} - 1 \right)A = \frac{1}{8}A$.Comparing the two,$\frac{\delta_w}{\delta_a} = \frac{(1/8)A}{(1/2)A} = \frac{1}{4}$.Therefore,the new deviation is $\delta_w = \frac{\delta_a}{4}$.

If a thin prism of glass is dipped into water,then the minimum deviation (with respect to air) of light produced by the prism will be: $\left( {_a{\mu _g} = \frac{3}{2} \text{ and } _a{\mu _w} = \frac{4}{3}} \right)$

Similar Questions

$A$ light ray is incident on a prism of angle $A = 30^{\circ}$ at an angle of incidence of $60^{\circ}$. If the emergent ray makes an angle of $30^{\circ}$ with the incident ray,then find the refractive index of the prism $:-$

Derive ${D_m} = A({n_{21}} - 1)$ for a thin prism.

At what angle will a ray of light be incident on one face of an equilateral prism,so that the emergent ray may graze the second surface of the prism $(\mu=2)$ (in $^{\circ}$)?

If a ray of light passes through an equilateral prism such that the angle of incidence and the angle of emergence are both equal to $70 \%$ of the angle of the prism, then the angle of deviation is (in $^{\circ}$)

The angle of minimum deviation is equal to the angle of the equilateral prism. At what angle of incidence $i$ will this minimum deviation occur?

Vedclass Test Series

Exam Paper Generator

Online Exam Module