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Two sources give interference pattern wh...

Two sources give interference pattern which is observed on a screen, D distance apart from the sources. The fringe width is 2 w . If the distance D is now doubled, the fringe width will

A

Become w /2

B

Remain the same

C

Become w

D

Become 4 w

Text Solution

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The correct Answer is:
D
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In a YDSE experiment, the distance between the slits & the screen is 100 cm . For a certain distance between the slits, an interference pattern is observed on the screen with the fringe width 0.25 mm . When the distance between the slits is increased by Deltad=1.2 mm, the fringe width decreased to n=2//3 of the original value. In the final position, a thin glass plate of refractive index 1.5 is kept in front of one of the slits & the shift of central maximum is observed to be 20 fringe width. Find the thickness of the plate & wavelength of the incident light.

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Knowledge Check

  • In an interference pattern of two wave fringe width is beta . If the frequency of source is doubled then fringe width will become :

    A
    `1/2 beta`
    B
    `beta`
    C
    `2 beta`
    D
    `3/2 beta`

  • In Young's double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the slits. A dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light is

    A
    `(D^(2))/(2d)`
    B
    `(d^(2))/(2D)`
    C
    `(D^(2))/(d)`
    D
    `(d^(2))/(D)`

  • Statement-1: In Young's double slit experiment the two slits are at distance d apart. Interference pattern is observed on a screen at distance D from the slits. At a poit on the screen when it is directly opposite to one of the slits, a dard fringe is observed then the wavelength of wave is proportional of square of distance of two slits. Statement-2: In Young's double slit experiment, for identical slits, the intensity of a dark fringe is zero.

    A
    Statement-1 is true, statement-2 is true: Statement-2 is a correct explanation for statement-1
    B
    Statement-1 is true, statement-2 true, statement-2 is not a correct explanation for statement-1
    C
    Statement-1 is true, Statement-2 is false.
    D
    Statement-1 is false, Statement-2 is true.

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