S. L. Arora Solutions for Chapter: Wave Optics, Exercise 6: Problems For Practice

Thickness of a plate which will produce a change in optical path equal to half the wavelength $\lambda$ of the light passing through it normally is$\frac{\lambda }{2(\mu -n)}$ . Value of $n$ if refractive index of the plate is $\mu$ is 

When a thin sheet of a transparent material of thickness $7.2\times {10}^{-4} \mathrm{cm}$ is introduced in the path of one of the interfering beams, the central fringe shifts to a position occupied by the sixth bright fringe. If $\lambda =6\times {10}^{-5} \mathrm{cm},$ find the refractive index of the sheet.

In Young's double slit experiment, on inserting a thin plate of glass in the path of one of the interfering beams, it is found that the central bright fringe shifts into the position previously occupied by the 6th bright fringe. If the wavelength of light used is $6\times {10}^{-5} \mathrm{cm}$ and the refractive index of glass plate is $1.5$ for this wavelength, thickness of the plate is $7.2 \times {10}^{-\mathrm{n}} \mathrm{m}$. Value of $\mathrm{n}$ is 

A transparent paper $(\mu =1.45)$ of thickness $0.02 \mathrm{mm}$ is pasted on one of the slits of a Young's double slit experiment which uses monochromatic light of wavelength $620 \mathrm{nm}$. How many fringes will cross the centre if the paper is removed?

A glass plate of $1.2\times {10}^{-6} \mathrm{m}$ thickness is placed in the path of one of the interfering beams in a biprism arrangement using monochromatic light of wavelength $6000 \mathrm{\AA }$. If the central band shifts by a distance equal to the width of the bands, Refractive index of glass is