S. L. Arora Solutions for Chapter: Wave Optics, Exercise 1: Problems For Practice

Red Light of wavelength $750\mathrm{nm}$ enters a glass plate of refractive index $1.5$. If the velocity of light in vacuum is $3\times {10}^8{\mathrm{ms}}^{-1}$, calculate in the glass velocity of light in ${10}^8 \mathrm{m}/\mathrm{s}$.

Red Light of wavelength $750\mathrm{nm}$ enters a glass plate of refractive index $1.5$. If the velocity of light in vacuum is $3\times {10}^8{\mathrm{ms}}^{-1}$, calculate in the glass wavelength of light in $\mathrm{nm}$.

The absolute refractive indices of glass and water are $3/2$ and $4/3$. Determine the ratio of the speeds of light in glass and water.

The refractive index of glass with respect to water is $1.125$. If the speed of light in water is $2.25\times {10}^8 {\mathrm{ms}}^{-1}$ then the speed of light in glass is $n\times {10}^8 {\mathrm{ms}}^{-1}$. Find the value of $n$.

The refractive index of glass is $1.5$ and that of water is $1.3$, the speed of light in water is $2.25\times {10}^8 {\mathrm{ms}}^{-1}$. The speed of light in glass is $k\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. Find $k$.

The ratio of the thickness of the strips of two transparent media $A$ and $B$ is $3:2$. If light takes the same time in passing through both of them, then what is the refractive index of $B$ with respect to $A$?

The speed of light in air is $3\times {10}^8{\mathrm{ms}}^{-1}$. If refractive index of glass is $1.5$, Time taken by light to travel a distance of $10 \mathrm{cm}$ in glass is $n\times {10}^{-10} \sec$. Value of $n$ is 

A light wave has a frequency of $5\times {10}^{14} \mathrm{Hz}$. Difference in its wavelengths in alcohol of refractive index $1.35$ and glass of refractive index $1.5$ is $44.44 \times {10}^n \mathrm{\AA }$. Value of $n$ is