Question

In: Physics

a) Unpolarized light passes through two Polariods. What is the angle between the two Polaroids axes...

a) Unpolarized light passes through two Polariods. What is the angle between the two Polaroids axes so that the transmitted light is 25% of the original?

b) UUnpolarized light passes through two Polariods. The first Polaroid’s axis is horizontal. What is the angle of the 2nd Polaroid’s axis so that the transmitted light is 10% of the original?

c) Unpolarized light passes through three Polariods. The first Polaroid’s axis is vertical. The 2nd Polaroid’s axis is at 30° to the vertical. The 3rd Polaroid’s axis is also vertical. What is the orientation and intensity of the transmitted light?

Solutions

Expert Solution

a)

Io = intensity of unpolarized light

I1 = intensity of light after passing the first polaroid

I2 = intensity of light after passing the second polaroid = 0.25 Io = Io/4

= angle between the two polaroids

intensity of light after passing the first polaroid is given as

I1 = Io /2 Eq-1

intensity of light after passing the first polaroid is given as

I2 = I1 Cos2

using Eq-1

Io/4 = (Io /2) Cos2

Cos2 = 1/2

= 45

b)

Io = intensity of unpolarized light

I1 = intensity of light after passing the first polaroid

I2 = intensity of light after passing the second polaroid = 0.1 Io

= angle between the two polaroids

intensity of light after passing the first polaroid is given as

I1 = Io /2 Eq-1

intensity of light after passing the first polaroid is given as

I2 = I1 Cos2

using Eq-1

(0.1) Io = (Io /2) Cos2

Cos2 = 0.2

= 63.4

c)

Io = intensity of unpolarized light

I1 = intensity of light after passing the first polaroid

I2 = intensity of light after passing the second polaroid

I3 = intensity of light after passing the third polaroid

1 = angle between the first and second polaroid = 30

2 = angle between the second and third polaroid = 30

intensity of light after passing the first polaroid is given as

I1 = Io /2 Eq-1

intensity of light after passing the second polaroid is given as

I2 = I1 Cos21

I2 = ( Io /2 ) Cos230

intensity of light after passing the third polaroid is given as

I3 = I2 Cos22

I2 = ( ( Io /2 ) Cos230) Cos230

I2 = (0.5)  Io Cos430

I2 = (0.28125) Io

hence the intensity is 0.28125 times the original intensity and the orientation is vertical.


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