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  4. 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

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Q. 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

Ray Optics and Optical Instruments

Solution:

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
${w}_{\mu}=\frac{{ }^{a} \mu_{d}}{{ }^{a} \mu_{w}}=\frac{2.4}{1.33}=1.80$
$\therefore { }^{a} \mu_{d} \times{ }^{d} \mu_{g}={ }^{a} \mu_{g} \text { or } \quad{ }^{d} \mu_{g}=\frac{{ }^{a} \mu_{g}}{{ }^{a} \mu_{d}}=\frac{1.5}{2.4}=0.625$