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In a young's doule slits experiment, a m...

In a young's doule slits experiment, a monochromatic source of wavelength `lambda` is used to illuminate the two slits

`S_(1)` and `S_(2)`. The slitss `S_(1)` and `S_(2)` are identical and source S is placed symmetrically as shown. interference pattern is observed on a screen at a distance D from the centre of slit. The distance between the slits is d.
If the resultant intensity at P is same as that O, then the distance OP can not be

A

`(lambdaD)/d`

B

`(2lambdaD)/d`

C

`(3lambdaD)/d`

D

`(1.5lambdaD)/d`

Text Solution

Verified by Experts

The correct Answer is:
D
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In a young's doule slits experiment, a monochromatic source of wavelength lambda is used to illuminate the two slits S_(1) and S_(2) . The slitss S_(1) and S_(2) are identical and source S is placed symmetrically as shown. interference pattern is observed on a screen at a distance D from the centre of slit. The distance between the slits is d. If the size of slits S_(1) is slightly decreased, then

In a young's doule slits experiment, a monochromatic source of wavelength lambda is used to illuminate the two slits S_(1) and S_(2) . The slitss S_(1) and S_(2) are identical and source S is placed symmetrically as shown. interference pattern is observed on a screen at a distance D from the centre of slit. The distance between the slits is d. If the source is moved up by a very small distance y_(0) , the central maxima will shift

Knowledge Check

  • In a Young's double slit experiment, (slit distance d) monochromatic light of wavelength lambda is used and the fringe pattern observed at a distance D from the slits. The angular position of the bright fringes are

    A
    ` "sin"^(-1)((N lambda)/(d))`
    B
    ` "sin"^(-1)(((N+(1)/(2)) lambda)/(d))`
    C
    ` "sin"^(-1)((N lambda)/(D))`
    D
    ` "sin"^(-1)(((N+(1)/(2)) lambda)/(D))`

  • Consider a two slit interference arrangements (figure) such that the distance of the screen from the slits is half the distance between the slits. Obtain the value of D in terms of lambda such that the first minima on the screen falls at a distance D from the centre O.

    A
    `(lambda)/(2.472)`
    B
    `(lambda)/(2.236)`
    C
    `(lambda)/(1.227)`
    D
    `(lambda)/(3.412)`

  • In a double slit experiment, the distance between the slits is d. The screen is at a distance D from the slits. If a bright fringe is formed opposite to one of the slits, its order is

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

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