Question

what should be the angle between the pass axes of two polaroid so that the intensity of transmitted light from the second polaroid will be maximum​

Answer 1

Answer:

ANSWER

Let I

0

be the intensity of unpolarised light , incident on first polaroid , intensity of light transmitted from first polaroid will be ,

I

1

=I

0

cos

2

θ ,

or I

1

=I

0

×1/2=I

0

/2 ........................eq1 ,

let θ be the angle between the transmission axes of the first and second polaroid (which is placed between two crossed polaroids) and ϕ be the angle between second and hird polaroid ,

then θ+ϕ=90 (as first and third polaroids are perpendicular to each other) ,

or ϕ=90−θ ,

now intensity of light , transmitted from second polaroid ,

I

2

=I

1

cos

2

θ=(I

0

/2)cos

2

θ ,

and intensity of light , transmitted from third polaroid ,

I

3

=I

2

cos

2

ϕ=(I

0

/2)cos

2

θ×cos

2

ϕ ,

I

3

=(I

0

/2)cos

2

θ×cos

2

(90−θ) ,

or I

3

=(I

0

/2)cos

2

θsin

2

θ ,

or I

3

=(I

0

/2)cos

2

θsin

2

θ ,

or I

3

=(I

0

/2)(sin

2

2θ/4)

this is the required expression .

Now I

3

will be maximum when sin2θ is maximum i.e. sin2θ=1=sin90 ,

or 2θ=90 ,

or θ=45

Explanation:

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