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Two source S(1) and S(2) of intensity I(...

Two source `S_(1)` and `S_(2)` of intensity `I_(1)` and `I_(2)` are placed in front of a screen [Figure a]. The pattern of intensity distribution see in the central portion is given by Figure b. In this case which of the following statement are true.

A

`S_1 and S_2` have the same intensities

B

`S_1 and S_2` have a constant phase difference

C

`S_1 and S_2` have the same phase

D

`S_1 and S_2` have the same wavelength.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
The pattern of intensity distribution shown in the given figure (b) suggests that intensity distribution in successive maxima is same. So, the two sources `S_1 and S_2` have the same wavelength.
This is sustained interference pattern. So `S_1 and S_2` have constant phase difference.
Minimum intensity is zero. So, `S_1 and S_2` have to same intensity.
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Knowledge Check

  • Two coherent sources of intensities I_1 and I_2 produce an interference pattern. The maximum intensity in the interference pattern will be

    A
    (a) `I_1+I_2`
    B
    (b) `I_1^2+I_2^2`
    C
    (c) `(I_1+I_2)^2`
    D
    (d) `(sqrt(I_1)+sqrt(I_2))^2`

  • A sphere of radius R is exposed to a parallel beam of radiation of intensity I as shown in figure. Choose the correct option ( s ) of the following.

    A
    If the surface of the sphere is completely reflecting, radiation force in the sphere is `(2IpiR^(2))/(c )`
    B
    If surface of the sphere is completely absorbing, radiation force on the sphere is `(IpiR^(2))/(c )`
    C
    If surface of the sphere is completely reflecting, radiation force on the sphere is `(IpiR^(2))/(2c )`
    D
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    A
    `I`
    B
    `10I//9`
    C
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