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Light of wavelength 6000 A^(@) is incide...

Light of wavelength `6000 A^(@)` is incident on a single slit. The first minimum of the diffraction pattern is obtained at 4 mm from the centre. The screen is at a distance of 2 m from the silt. The slit width will be

A

0 . 3 m m

B

0 . 2 m m

C

0 . 15 m m

D

0 . 1m m

Text Solution

Verified by Experts

The correct Answer is:
A

From , a `sin theta = n lambda`
`a(x)/(D) = n lambda` or
`a = (n lambda D)/(x) = (1 xx 6000 xx 10^(-10) xx 2)/(4 xx 10^(-3))`
`:. a = 3 xx 10^(-4) = 0 . 3 ` m m
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Knowledge Check

  • Light of wavelength 5000Å is incident normally on a slit. The first minimumof the diffraction pattern is formed at adistance of 5 mm from centra maximum. The screen is situated at a distance of 2 m from the slit. The slit width is

    A
    `0.2 mm`
    B
    `0.8` mm
    C
    `0.4 mm`
    D
    `2.0 mm`
  • light of wavelength 600 nm is incident on a single slit. The first minimum of athe diffraction pattern is obtained at a distance of 4 m m from the centre. The distance between the screen and the slit is 2 m . What is the width of the slit ?

    A
    0 . 1 m m
    B
    0 . 3 m m
    C
    0 . 5 m
    D
    0 . 6m m
  • Light of wavelength lambda is incident on a slit. First minima of the diffraction pattern is found to lie at a distance of 6 mm from the central maximum on a screen placed at a distance of 2 m from the slit. If slit width is 0.2 mm, then wavelength of the light used will be :

    A
    `4000 Å`
    B
    `6000 Å`
    C
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