A thin prism having refracting angle 10^{circ | vedclass

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

Question

(A) The condition for dispersion without deviation is given by the formula for net deviation $\delta = (\mu - 1)A + (\mu' - 1)A' = 0$.Since the prisms

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) The condition for dispersion without deviation is given by the formula for net deviation $\delta = (\mu - 1)A + (\mu' - 1)A' = 0$.Since the prisms are combined to produce dispersion without deviation,the net deviation must be zero,meaning the prisms must be placed in opposite orientations.Thus,the condition is $(\mu - 1)A = (\mu' - 1)A'$.Given values are $\mu = 1.42$,$A = 10^{\circ}$,and $\mu' = 1.7$.Substituting these values into the equation:$(1.42 - 1) 	imes 10^{\circ} = (1.7 - 1) 	imes A'$$0.42 	imes 10^{\circ} = 0.7 	imes A'$$4.2^{\circ} = 0.7 	imes A'$$A' = \frac{4.2}{0.7} = 6^{\circ}$.Therefore,the refracting angle of the second prism is $6^{\circ}$.

$A$ thin prism having refracting angle $10^{\circ}$ is made of glass of refractive index $1.42$. This prism is combined with another thin prism of glass of refractive index $1.7$. This combination produces dispersion without deviation. The refracting angle of the second prism should be....$^{\circ}$

Similar Questions

The angle of a prism is $5^o$ and its refractive indices for red and violet colors are $1.5$ and $1.6$ respectively. The angular dispersion produced by the prism is ......$^o$.

$A$ light ray is incident at an angle of $60^o$ on a prism of angle $45^o$. When the light ray emerges from the other surface at $90^o$ to the surface,the refractive index of the material of the prism $\mu$ and the angle of deviation $\delta$ are given by:

In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are $\omega, \omega^{\prime}$ and $d, d^{\prime}$ respectively. The condition for obtaining dispersion without deviation, when the two prisms are combined, is:

When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism $= 1.5$),what happens to the ray at the second refracting surface?

$A$ light ray is incident on a prism at an angle of $45^o$ and produces minimum deviation. If the refractive index of the prism is $\sqrt{2}$,then the prism angle is .......... $^o$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module