Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are 1.602 and 1.500 respectively. Angle of prism of flint prism is 10°, then the angle of prism for crown prism will be

Question

Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are 1.602 and 1.500 respectively. Angle of prism of flint prism is 10°, then the angle of prism for crown prism will be (A) 12° 2.4 prime (B) 12° 4 prime (C) 1.24° (D) 12°

Tardigrade Admin · Accepted Answer

For dispersion without deviation (A/A prime)=((μy prime-1/μy-1)) ∴ (A/10)=((1.602-1)/(1.500-1))=(0.602/0.500) ⇒ A=12° 2.4 prime

Q. Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are $1.602$ and $1.500$ respectively. Angle of prism of flint prism is $1 0^{\circ}$ , then the angle of prism for crown prism will be

$1 2^{\circ} 2. 4^{'}$

$1 2^{\circ} 4^{'}$

$1.2 4^{\circ}$

$1 2^{\circ}$

For dispersion without deviation $\frac{A}{A ^{'}} = (\frac{μ _{y}^{'} - 1}{μ _{y} - 1})$
$∴ \frac{A}{10} = \frac{( 1.602 - 1 )}{( 1.500 - 1 )} = \frac{0.602}{0.500}$
$\Rightarrow A = 1 2^{\circ} 2. 4^{'}$

Q. Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are 1.602 and 1.500 respectively. Angle of prism of flint prism is 10∘, then the angle of prism for crown prism will be

12∘2.4′

12∘4′

1.24∘

12∘