A thin prism of angle 6 degrees and refractive index 1.5 is combined with another thin prism of refractive index 1.7 to produce dispersion without deviation. What is the angle of the second prism?

A. 5 degrees — For deviation without dispersion, the net deviation must be zero. The condition is A1(mu1 - 1) + A2(mu2 - 1) = 0, considering the prisms are inverted relative to each other.

JEE Main · PhysicsMedium

$A thin prism of angle $A_1 = 6^\circ$ and refractive index $\mu_1 = 1.5$ is combined with another thin prism of refractive index $\mu_2 = 1.7$ to produce dispersion without deviation. What is the angle $A_2$ of the second prism?$

A.5 degrees
B.6 degrees
C.7.5 degrees
D.8.33 degrees

Show correct answer & step-by-step solution

Correct answer: A — 5 degrees

Solution

The condition is

A_{1} (μ_{1} - 1) + A_{2} (μ_{2} - 1) = 0

. Substituting values,

6 (0.5) + A_{2} (0.7) = 0

, implying

A_{2} = - 3/0.7 \approx 4.28

or using the magnitude for deviation without dispersion:

A_{1} (μ_{1} - 1) = A_{2} (μ_{2} - 1)

Attempt this question & track your score

Attempt & Track Free →

More Ray Optics practice questions

A concave mirror has a focal length of 20 cm. If an object is placed at a distance of 30 cm from the mirror, what is the
The refractive index of glass with respect to air is 1.5. What is the speed of light in glass if the speed of light in a
A thin convex lens has a power of 2.0 Diopters. What is its focal length in meters?
Which of the following phenomena explains the formation of a rainbow?
An object is placed at a distance of 10 cm from a convex lens of focal length 15 cm. What is the nature of the image?
A point object is placed at a distance of 30 cm from a convex lens of focal length 20 cm. A convex mirror of radius of c
A ray of light enters a glass slab of thickness 10 cm and refractive index 1.5 at an angle of 45 degrees. What is the la
A fish in a pond at a depth of 20 cm looks up at a bird flying at a height of 30 cm above the water surface. What is the
A biconvex lens has a focal length of 10 cm in air. If it is immersed in a liquid of refractive index 1.5, and the lens
A thin prism of angle 6 degrees and refractive index 1.5 is combined with another thin prism of refractive index 1.7 to
A concave mirror of focal length 10 cm is placed at a distance of 30 cm from a convex lens of focal length 15 cm. An obj
A ray of light enters a glass slab of thickness 10 cm and refractive index 1.5 at an angle of 45 degrees. Calculate the

View all Ray Optics questions →