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.
Draw a neat labelled diagram showing the plane of vibration and plane of polarisation for polarised light.
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°.

How does one demonstrate, using a suitable diagram, that unpolarised light when passed through a Polaroid gets polarised?
A beam of unpolarised light is incident on a glass-air interface. Show, using a suitable ray diagram, that light reflected from the interface is totally polarised, when μ = tan iB, where μ is the refractive index of glass with respect to air and iB is the Brewster's angle.
Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. An unpolarised light of intensity Io is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its pass axis makes an angle of 45° with that of P1. Determine the intensity of light transmitted through P1, P2 and P3
Using the phenomenon of polarisation, show how the transverse nature of light can be demonstrated.
Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. Unpolarised light of intensity I0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its pass axis makes an angle of 60° with that of P1. Determine the intensity of light transmitted through P1, P2 and P3.
What is the Brewster angle for air to glass transition? (Refractive index of glass = 1.5)
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)`
What is the value of refractive index of a medium of polarising angle 60°?
Show using a proper diagram how unpolarised light can be linearly polarised by reflection from a transparent glass surface.
State any two methods by which ordinary light can be polarised
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.
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.
Explain how an unpolarised light gets polarised when incident on the interface separating the two transparent media.
The transverse nature of light is shown in ______.
What is a analyser?
State Brewster’s law.
What is double refraction?
What is normal focusing?
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?
Polarisation of light is the only phenomenon that establishes ______.
Can reflection result in plane polarised light if the light is incident on the interface from the side with higher refractive index?
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.
An unpolarized light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction of light) by 30° in clockwise direction, the intensity of emerging light will be ______ Lumens.
