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A ray of light is incident on the left v...

A ray of light is incident on the left vertical face of the glass slab. If the incident light has an intensity I and on each reflection the intensity decreases by 90% and on each refraction the intensity decreases by 10%, find the ratio of the intensities of maximum to minimum in reflected pattern.

Text Solution

Verified by Experts

The correct Answer is:
A, C
`I_1 = 0.1 I_0 , I_2 = 0.081 I_0 `

`:. sqrt (I_1/I_2) = 10/9`
`:. I_(max)/I_(min) = ((sqrt(I_1//I_2)+1)/(sqrt (I_1/I_2) -1))^2`
`=(19)^2`
= 361.
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Knowledge Check

  • Light is incident at an angle i on a glass slab. If the reflected ray is completely polarised , then the angle of refraction is

    A
    `180^@-i`
    B
    `90^(@)+i`
    C
    `i`
    D
    `90^(@)-i`

  • If two light waves having same frequency have intensity ratio 4:1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

    A
    `9:1`
    B
    `3:1`
    C
    `25:9`
    D
    `16:25`

  • If two light waves having the same frequency have intensity ratio 4:1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be

    A
    (a) `9:1`
    B
    (b) `3:1`
    C
    (c) `25:9`
    D
    (d) `16:25`