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A horizontal beam of vertically polarize...

A horizontal beam of vertically polarized light of intensity `43 W//m^(2)` is sent through two polarizing sheets. The polarizing direaction of the first is `60^(@)` to the vertical, and that of the second is horizontal. The intensity of the light transmitted b y the pair of sheets is (nearly)

A

`8 . 1 W // m^(2)`

B

` 7 . 3 W // m^(2)`

C

` 6 . 4 W // m^(2)`

D

`3 . 8 W // m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`I_(2) = (I_(0))/(2) cos^(2) theta`
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In Fig 32-24 a beam of light with intensity 43 W//m^(2) and polarization parallel to a y axis is sent into a system of two polarizing sheets with polarizing directions at angles of theta_(1)= 70^(@) and theta_(2)=90^(@) to the y axis . (a) What is the intensity of the light transmitted by the two sheet system ? (b) What is the transmitted intensity if instead the initial polarization is parallel top the x axis ?

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Knowledge Check

  • Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is 30^@ to the vertical . What is the orientation and intensity of the transmitted light ?

    A
    Plane polarized at `60^@` to the vertical and having intensity of `I_0/4`
    B
    Plane polarized at `30^@` to the vertical and having intensity of `(3I_0)/8`
    C
    Plane polarized at `60^@` to the vertical and having intensity of `I_0/2`
    D
    No light passes

  • Unpolarised light of intensity 32 Wm^(-2) passes through three polarizer such that the transmission axis of the last polarizer is crossed with that of the first. The intensity of final emerging light is 3Wm^(-2) . The intensity of light transmitted by first polarizer will be

    A
    `32 Wm^(-2)`
    B
    `16 Wm^(-2)`
    C
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    D
    `4 Wm^(-2)`

  • When an unpolarized light of intensity I_(0) is incident on a polarizing sheet, the intensity of the light which does not get transmitted is

    A
    Zero
    B
    `I_(0)`
    C
    `(1)/(2)I_(0)`
    D
    `(1)/(4)I_(0)`

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