Q.
A thin prism $P_{1}$ with angle $4{^\circ}$ made from a glass of refractive index 1.54 is combined with another thin prism $P_{2}$ made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism $P_{2}$ is
A) $5.33{^\circ}$
B) $4{^\circ}$
C) $3{^\circ}$
D) $2.6{^\circ}$
Explanation
(c) For no deviation,
($\mu - 1)A + (\mu' - 1)A' = 0$
$\Longrightarrow A^{'} = - \frac{(\mu - 1)A}{(\mu' - 1)} = \frac{(1.54 - 1)4{^\circ}}{(1.72 - 1)} = - 3{^\circ}$
Negative sign implies that two prisms should be connected in opposition.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.