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A narrow slit of width 'a' is illuminate...

A narrow slit of width 'a' is illuminated by a light of wavelength 6000Å. For what value of 'a' do the following events occur?-
i. first maximum falls at an angle of diffraction of `30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
`1.8 xx 10^(-6)`m
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A narrow slit of width 'a' is illuminated by a light of wavelength 6000Å. For what value of 'a' do the following events occur?- ii. First minimum falls at an angle of diffraction of 30^(@)

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Knowledge Check

  • A narrow slit of 2 mm width is illuminated by a monochromatic light of wavelength 500 nm. What would be the intermediate distance between two first minima on either side of a screen kept 1m away?

    A
    5 mm
    B
    0.5 mm
    C
    1 mm
    D
    10 mm

  • A slit of width a is illuminated by red light of wavelength 650 nm. The first diffraction minimum is observed at an angle theta_(1) = 5.2^(@) from the direction of the incident beam. The width of the slit a in mm is

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    `5.12xx10^(-3)`
    B
    `7.17xx10^(-3)`
    C
    `3.21 xx 10^(-7)`
    D
    `4.25 xx 10^(-7)`

  • A slit of width a is illuminated by red light of wavelength 650 nm. The first diffraction minimum is observed at an angle theta_(1) = 5.2^(@) from the direction of the incident beam. The angle theta_(2) at which the second minimum is observed is

    A
    `10.4^(@)`
    B
    `8.6^(@)`
    C
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    D
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    The angular width of central maximum of a Fraunhofer diffraction fringe formed by a narrow slit is measured. For this, the slit is illuminated by a light of wavelength 6000 Å. When the slit is illuminated by light of another wavelength, it is found that the angular width decreases by 30%. Find the wavelength of the light used in the second case. Now, in the first case, the total set-up of the experiment is immersed in a liquid. It is found that, the angular width of central maximum decreases by same amount. Calculate the refractive index of the liquid.

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