Question

35. a) Define absolute refractive index. Refractive index of diamond with
respect to glass is 1.6 and absolute refractive index of glass is 1.5
absolute refractive index of diamond.​

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Refractive index of diamond with respect to glass = 1.6

• Absolute refractive index of glass = 1.5

$\large\underline{\underline{\sf To\:Find:}}$

• Absolute refractive index of diamond = ?

$\large\underline{\underline{\sf Solution:}}$

${\boxed{\sf Absolute\:Refractive\: Index=\frac{Velocity\: of\: light\:in\: Vacum(c)}{Velocity\: of\:light\:in\:Medium(v)}}}$

For Glass :-

$\large\implies{\sf 1.5=\frac{2×10^8}{v} }$

$\large\implies{\sf v=2×10^8m/s }$

For Velocity of diamond with respect to glass :

$\implies{\sf 1.6=\dfrac{2×10^8}{Speed\:of\:light\:in\: diamond(v_1)}}$

$\large\implies{\sf v_1=\frac{2×10^8}{1.6} }$

$\large\implies{\sf v_1=1.25×10^8m/s }$

Absolute Refractive Index of Diamond :

$\large\implies{\sf \frac{3×10^8}{1.25×10^8} }$

$\large\implies{\sf 2.4 }$

$\large\underline{\underline{\sf Answer:}}$

•°•Absolute Refractive Index of diamond is 1.4