Q. The refractive index of water, glass and diamond are 1.33,1.50,2.40 respectively. The refractive index of diamond relative to water and of glass relative to diamond, respectively are nearly
A) 1.80, 0.625
B) 0.554, 0.625
C) 1.80, 1.6
D) 0.554, 1.6
Explanation
(c) The refractive index of glass with respect to water is
$\ _{w}\mu_{g} = \frac{\ _{a}\mu_{g}}{\ _{a}\mu_{w}}$
Given,$\ _{a}\mu_{g} = 1.5,\ \ _{a}\mu_{w} = 1.33$
$\ _{w}\mu_{g} = \ \frac{1.5}{1.33} = 1.80$
Also $\ _{w}\mu_{d} = \frac{\ _{a}\mu_{d}}{\ _{a}\mu_{w}}$
Given, $\ _{a}\mu_{d} = 2.4,\ _{a}\mu_{w} = 1.33$
$\therefore\ _{w}\mu_{d} = \frac{2.4}{1.33} = 1.6$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.