Question

The refractive indices 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

Answer 1

Answer: (A)

Given: ${}^a{\mu }_w=1.33,{}^a{\mu }_g=1.5,{}^a{\mu }_d=2.4$
$\therefore {}^a{\mu }_w\times {}^w{\mu }_d={}^a{\mu }_d$ or
$w_{\mu }=\frac{{}^a{\mu }_d}{{}^a{\mu }_w}=\frac{2.4}{1.33}=1.80$
$\therefore {}^a{\mu }_d\times {}^d{\mu }_g={}^a{\mu }_g\text{ or }{}^d{\mu }_g=\frac{{}^a{\mu }_g}{{}^a{\mu }_d}=\frac{1.5}{2.4}=0.625$