A thin prism of angle 6° made up of glass of refractive index 1.5 is combined with another prism made up of glass of refractive index 1.75 to produce dispersion without deviation, The angle of second prism is

Question

A thin prism of angle 6° made up of glass of refractive index 1.5 is combined with another prism made up of glass of refractive index 1.75 to produce dispersion without deviation, The angle of second prism is (A)  6°  (B)  9°  (C)  4°  (D)  5°

Tardigrade Admin · Accepted Answer

For dispersion without deviation (A/A)=((μ -1)/(μ -1)) (6o/A)=(0.75/0.50) A=(0.50× 6o/0.75)

Q. A thin prism of angle $6^{\circ}$ made up of glass of refractive index 1.5 is combined with another prism made up of glass of refractive index 1.75 to produce dispersion without deviation, The angle of second prism is

$6^{\circ}$

$9^{\circ}$

$4^{\circ}$

$5^{\circ}$

For dispersion without deviation $\frac{A}{A} = \frac{( μ - 1 )}{( μ - 1 )}$ $\frac{6 ^{o}}{A} = \frac{0.75}{0.50}$ $A = \frac{0.50 \times 6 ^{o}}{0.75}$

Q. A thin prism of angle 6∘ made up of glass of refractive index 1.5 is combined with another prism made up of glass of refractive index 1.75 to produce dispersion without deviation, The angle of second prism is

6∘

9∘

4∘

5∘