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Hetan Chaudhry
Asked: 2022-10-29T01:55:27+05:30 In:

A screen is placed `50 cm` from a single slit, which is illuminated with `6000 Å` light. If the distance between the first and third minima in the diffraction pattern is `3.00 mm`, what is the width of the slit ?
A. `1 xx 10^(-4)m`
B. `2 xx 10^(-4)m`
C. `0.5 xx 10^(-4)m`
D. `4 xx 10^(-4)m`

A screen is placed `50 cm` from a single slit, which is illuminated with `6000 Å` light. If the distance between the first and third minima in the diffraction pattern is `3.00 mm`, what is the width of the slit ?
A. `1 xx 10^(-4)m`
B. `2 xx 10^(-4)m`
C. `0.5 xx 10^(-4)m`
D. `4 xx 10^(-4)m`
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1 Answer

  1. Correct Answer – B
    The position of `n^(th)` minima in the diffraction pattern is
    `x_(n)=(n D lambda)/(d)`
    ` :. x_(3)-x_(1)=(3-1)(D lambda)/(d)=(2D lambda)/(d)`
    or `d=(2D lambda)/(x_(3)-x_(1))=(2xx0.50xx6000xx10^(-10))/(3xx10^(-3))=2xx10^(-4)m`

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