Advertisements
Advertisements
Question
If the critical angle of a medium is sin-1(3/5), find the polarising angle.
Advertisements
Solution
Given :
The critical angle is given as
sinθc = 1/n
`therefore theta_c=sin^-1(1/n)` ...(1)
It is given that
`theta_c=sin^-1(3/5)`
`therefore sin^-1(1/n)=sin^-1(3/5)` ...........form (1)
`therefore 1/n=3/5`
`therefore n=5/3`
Now, the polarising angle is given as
`theta_p=tan^-1 n`
`theta_p=tan^(-1)(5/3)`
`theta_p=tan^(-1)(1.667)`
`theta_p=59^@2'`
the polarising angle is `59^@2'`
APPEARS IN
RELATED QUESTIONS
What is a Polaroid?
With the help of neat diagram, explain how non-polar dielectric material is polarised in external electric field of increasing intensity. Define polarisation in dielectrics.
For a glass plate as a polariser with refractive index 1.633, calculate the angle of incidence at which light is polarised.
Three identical polaroid sheets P1, P2 and P3 are oriented so that the pass axis of P2 and P3 are inclined at angles of 60° and 90° respectively with the pass axis of P1. A monochromatic source S of unpolarised light of intensity I0 is kept in front of the polaroid sheet P1 as shown in the figure. Determine the intensities of light as observed by the observer at O, when polaroid P3 is rotated with respect to P2 at angles θ = 30° and 60°.

What dose a polaroid consist of?
Find an expression for intensity of transmitted light when a polaroid sheet is rotated between two crossed polaroids. In which position of the polaroid sheet will the transmitted intensity be maximum?
Show, with the help of a diagram, how unpolarised sunlight gets polarised due to scattering.
Using the phenomenon of polarisation, show how the transverse nature of light can be demonstrated.
The refractive indices of glass and water w.r.t. air are 3/2 and 4/3 respectively. Determine the refractive index of glass w.r.t. water.
The refractive indices of water for red and violet colours are 1.325 and 1.334 respectively.
Find the difference between the velocities of rays for these two colours in water. (c = 3 × 108 m/s)
A ray of light passes from a vacuum to a medium of refractive index (μ). The angle of
incidence is found to be twice the angle of refraction. The angle of incidence is _______.
A) `cos^(-1)(mu/2)`
B) cos−1(μ)
C) `2 cos^(-1) (mu/2)`
D) `2 sin^(-1) (mu/2)`
Unpolarised light is passed through a polaroid P1. When this polarised beam passes through another polaroid P2 and if the pass axis of P2 makes angle θ with the pass axis of P1, then write the expression for the polarised beam passing through P2. Draw a plot showing the variation of intensity when θ varies from 0 to 2π.
The glass plate of refractive index 1.732 is to be used as a polarizer, its polarising angle is _______.
A beam of light is incident at the polarizing angle of 35° on a certain glass plate. The refractive index of the glass plate is :
Green light is incident at the polarising angle on a certain transparent medium. The angle of refraction is 30° . Find
(i) polarising angle, and
(ii) refractive index of the medium.
What is the difference between polarised light and unpolarised light?
A ray of ordinary light is travelling in air. It is incident on air glass pair at a polarising angle of 56°. Find the angle of refraction in glass.
What is a polariser?
What is plane polarised light?
How is polarisation of light obtained by scattering of light?
An unpolarised light of intensity 32 Wm-2 passes through three Polaroids such that the axes of the first and the last Polaroids are at 90°. What is the angle between the axes of the first and middle Polaroids so that the emerging light has an intensity of only 3 Wm-2?
A plane mirror produces a magnification of
Polarisation of light is the only phenomenon that establishes ______.
Consider a light beam incident from air to a glass slab at Brewster’s angle as shown in figure. A polaroid is placed in the path of the emergent ray at point P and rotated about an axis passing through the centre and perpendicular to the plane of the polaroid.

To ensure almost 100 per cent transmissivity, photographic lenses are often coated with a thin layer of dielectric material. The refractive index of this material is intermediated between that of air and glass (which makes the optical element of the lens). A typically used dielectric film is MgF2 (n = 1.38). What should the thickness of the film be so that at the center of the visible spectrum (5500 Å) there is maximum transmission.
A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser need to be rotated further to reduce the output intensity to be zero, is ______.
