Let the refractive indices of crown glass for red, yellow and violet colours are 1.5140,1.5170 and 1.5318 respectively and similarly that for flint glass these are 1.6434,1.6499 and 1.6852 , respectively. Then what are the dispersive powers for crown and flint glass, respectively ?

Question

Let the refractive indices of crown glass for red, yellow and violet colours are 1.5140,1.5170 and 1.5318 respectively and similarly that for flint glass these are 1.6434,1.6499 and 1.6852 , respectively. Then what are the dispersive powers for crown and flint glass, respectively ? (A) 0.034 and 0.064 (B) 0.064 and 0.034 (C) 1.00 and 0.064 (D) 0.034 and 1.0

Tardigrade Admin · Accepted Answer

Dispersive power, ω is given by: ω =(μ v - μ r/μ y - 1) Substituting it in both the mediums: ω 1=(1 . 5318 - 1 . 5140/1 . 5170 - 1)=0.034 ω 2=(1 . 6852 - 1 . 6434/1 . 6499 - 1)=0.064

Q. Let the refractive indices of crown glass for red, yellow and violet colours are $1.5140, 1.5170$ and $1.5318$ respectively and similarly that for flint glass these are $1.6434, 1.6499$ and $1.6852$ , respectively. Then what are the dispersive powers for crown and flint glass, respectively ?

$0.034$ and $0.064$

$0.064$ and $0.034$

$1.00$ and $0.064$

$0.034$ and $1.0$

Dispersive power, $ω$ is given by :
$ω = \frac{μ _{v} - μ _{r}}{μ _{y} - 1}$
Substituting it in both the mediums :
$ω_{1} = \frac{1.5318 - 1.5140}{1.5170 - 1} = 0.034$
$ω_{2} = \frac{1.6852 - 1.6434}{1.6499 - 1} = 0.064$

Q. Let the refractive indices of crown glass for red, yellow and violet colours are 1.5140,1.5170 and 1.5318 respectively and similarly that for flint glass these are 1.6434,1.6499 and 1.6852 , respectively. Then what are the dispersive powers for crown and flint glass, respectively ?

0.034 and 0.064

0.064 and 0.034

1.00 and 0.064

0.034 and 1.0