Tag: polarisation of light

Questions Related to polarisation of light

A ray of light is incident on the surface of  a glass plate at an angle of incidence equal to Brewster's angle $\phi$. If $\mu$ represents the  refractive index of glass with respect to air, then the angle between the reflected and the refracted rays is

  1. 90$^o$ + $\phi$

  2. $sin^{-1}$( $ \mu cos \phi$)

  3. 90$^o$

  4. 90 $-sin^{-1}$ $\left (\displaystyle \frac{sin\phi }{\mu}\right )$


Correct Option: C
Explanation:

When angle of incidence is equal to the Brewster's angle then, the angle between reflected and refracted rays is $ { 90 }^{ o }$

Human eye:

  1. can detect polarized light

  2. cannot detect polarization of light

  3. can detect only circularly polarized light

  4. can detect only linearly polarized light


Correct Option: B
Explanation:

Polarization changes when plane of vibration of polarized light changes.
Human eye is insensitive to change in polarization and hence, cannot detect polarization of light.

Polarisation of light was first successfully explained by:

  1. Corpuscular theory

  2. Huygens' wave theory

  3. Electromagnetic wave theory

  4. Planck's theory


Correct Option: C
Explanation:

Electromagnetic wave theory explains light as being composed of electric field vibrating in planes.
Polarisation of light refers to vibrating electric field in a particular plane.

Plane of polarisation is:

  1. the plane in which vibrations of the electric vector takes place

  2. a plane perpendicular to the plane in which vibrations of the electric vector takes place

  3. perpendicular to the plane of vibration

  4. horizontal plane


Correct Option: B,C
Explanation:

$ \bf{Plane\ of\ Vibrations} $ is the plane in which the vibrations of electric vector of plane polarized light are present. 


$ \bf{Plane\ of\ Polarization} $ is the plane perpendicular to the plane of vibration and in this plane, the vibrations of the electric vector are absent.

Hence, the correct answers are OPTIONS B and C. 

When light is incident on a glass block at polarizing angle
a) reflected ray is plane polarized
b) reflected and refracted rays are perpendicular
c) reflected and refracted rays are partially polarized
d) refracted ray is partially polarised

  1. a, c and d are correct

  2. a, b and d are correct

  3. b, c and d are correct

  4. a, b and c are correct


Correct Option: B
Explanation:

when a beam of unpolarized light is incident on the glass block, certain amount of the incident vibration is reflected in a plane perpendicular to the plane of incidence and transmits the rest.
Thus reflected ray is completely polarized but not partially polarized.
Thus only (c) is wrong and rest options are correct.

The polarising angle for glass is :

  1. same for different kinds of glass

  2. different for different kinds of glass

  3. same for lights of all colours

  4. varies with time


Correct Option: B
Explanation:

Different kinds of glass have different refractive index. Thus as polarising angle depends on refractive index the polarising angle is different for different kinds of glass. $tan \ i = \mu $

Bartholinus discovered :

  1. Interference by splitting the wave front

  2. Polarisation by reflection

  3. Polarisation by refraction

  4. Polarisation by double refraction


Correct Option: D
Explanation:

In 1669, another Danish scientist, Erasmus Bartholinus discovered the polarization of light by double refraction in Iceland spar (calcite).

Choose the correct statements among the following given options.

  1. Brewster's angle is independent of wavelength of light.

  2. Brewster's angle is independent of the nature of reflecting surface.

  3. Brewster's angle is different for different wavelengths.

  4. Brewsters angle depends on wavelength but not on the nature of reflecting surface.


Correct Option: C
Explanation:

Brewster's angle is an angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface,
with no reflection.
$\theta _{B}=tan^{-1}(\dfrac{n _{2}}{n _{1}})$
$n _{2}$ refractive index of final medium
$n _{1}$ refractive index of initial medium
As different wavelength have different refractive indices the brewster angle is also different.

Pile of plates can be used to produce completely polarised light due to :

  1. Reflection

  2. Refraction

  3. Double refraction

  4. A and B


Correct Option: B
Explanation:

pile of plates is used to produce plane polarized light by refraction.
By refraction through multiple plates vibrations in the plane of incidence are transmitted.
Thus we obtain a polarized light.

At the polarising angle $(\theta _{B})$, angle of refraction is given by : 

  1. $90^{\circ}$

  2. $90^o+\theta _{B}$

  3. $90^o-\theta _{B}$

  4. $\dfrac{90^o}{\theta _B }$


Correct Option: C
Explanation:

At polarizing angle $\theta _{B}$
$\dfrac{sin \theta _{B}}{cos \theta _{B}}=\dfrac{sin \theta _{B}}{sin \gamma }$
we get $sin \gamma =cos \theta _{B}$
$sin \gamma =sin(90-\theta _{B})$
Thus $\gamma =90-\theta _{B}$