Answer
Verified
388.8k+ views
Hint:Use the expression for polarization according to Brewster’s law. This expression gives the relation between the refractive index of the medium which is being used as a polarizer and the angle of incidence for which the light incident on the polarizer gets polarized or angle of polarization.
Formula used:
The expression for polarization according to Brewster’s law is given by
\[\mu = \tan {\theta _p}\] …… (1)
Here, \[\mu \] is the refractive index of the medium which is used as a polarizer and \[{\theta _p}\] is the angle of polarization for the incident light.
Complete step by step answer:
We have given that a glass plate is used as a polarizer for the polarization of light. The refractive index of the glass plate is 1.633. We have asked to determine the angle of incidence at which the incident light is polarized. The angle of incidence for which the incident light is polarized is known as the angle of polarization.
We can determine the angle of polarization for the incident light using equation (1).
Rearrange equation (1) for the angle of polarization.
\[{\theta _p} = {\tan ^{ - 1}}\left( \mu \right)\]
Substitute 1.633 for \[\mu \] in the above equation.
\[{\theta _p} = {\tan ^{ - 1}}\left( {1.633} \right)\]
\[ \therefore {\theta _p} = 58.5^\circ \]
Hence, the angle of incidence for which the incident light is polarized is \[58.5^\circ \].
Note:The students should be careful while determining the tangent of inverse of the refractive index of the medium given in the question. If this value is not determined correctly, the final answer for the angle of polarization will be incorrect. The students can determine this angle of polarization in degrees as well as in radians. Since there is no unit mentioned for this angle, we have determined this angle in degrees.
Formula used:
The expression for polarization according to Brewster’s law is given by
\[\mu = \tan {\theta _p}\] …… (1)
Here, \[\mu \] is the refractive index of the medium which is used as a polarizer and \[{\theta _p}\] is the angle of polarization for the incident light.
Complete step by step answer:
We have given that a glass plate is used as a polarizer for the polarization of light. The refractive index of the glass plate is 1.633. We have asked to determine the angle of incidence at which the incident light is polarized. The angle of incidence for which the incident light is polarized is known as the angle of polarization.
We can determine the angle of polarization for the incident light using equation (1).
Rearrange equation (1) for the angle of polarization.
\[{\theta _p} = {\tan ^{ - 1}}\left( \mu \right)\]
Substitute 1.633 for \[\mu \] in the above equation.
\[{\theta _p} = {\tan ^{ - 1}}\left( {1.633} \right)\]
\[ \therefore {\theta _p} = 58.5^\circ \]
Hence, the angle of incidence for which the incident light is polarized is \[58.5^\circ \].
Note:The students should be careful while determining the tangent of inverse of the refractive index of the medium given in the question. If this value is not determined correctly, the final answer for the angle of polarization will be incorrect. The students can determine this angle of polarization in degrees as well as in radians. Since there is no unit mentioned for this angle, we have determined this angle in degrees.
Recently Updated Pages
Draw a labelled diagram of DC motor class 10 physics CBSE
A rod flies with constant velocity past a mark which class 10 physics CBSE
Why are spaceships provided with heat shields class 10 physics CBSE
What is reflection Write the laws of reflection class 10 physics CBSE
What is the magnetic energy density in terms of standard class 10 physics CBSE
Write any two differences between a binocular and a class 10 physics CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Name 10 Living and Non living things class 9 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE
Select the word that is correctly spelled a Twelveth class 10 english CBSE
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE