What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?

Question

What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?

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Latifah 4 years 2021-07-31T21:42:37+00:00 1 Answers 10 views 0

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    2021-07-31T21:43:46+00:00

    Explanation:

    Given that,

    Wavelength of light, \lambda=600\ nm=6\times 10^{-7}\ m

    Angle, \theta=25^{\circ}

    We need to find the slit spacing for diffraction. For a diffraction, the first order principal maximum is given by :

    d\sin\theta=n\lambda

    n is 1 here

    d is slit spacing

    d=\dfrac{\lambda}{\sin\theta}\\\\d=\dfrac{6\times 10^{-7}}{\sin(25)}\\\\d=1.41\times 10^{-6}\ m\\\\d=1.41\ \mu m

    So, the slit spacing is 1.41\ \mu m.

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