The Diffraction Grating (Cambridge (CIE) A Level Physics): Flashcards

Exam code: 9702

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Cards in this collection (8)

  • Define a diffraction grating.

    An optical component consisting of a large number of thin, equally spaced, parallel slits that diffracts monochromatic light into bright and dark fringes.

  • State the diffraction grating equation, defining each symbol.

    d\sin(\theta) = n\lambda

    • d = spacing between adjacent slits (m)

    • θ = angle to the order of maxima (degrees)

    • n = order of maxima (n = 0, 1, 2, 3...)

    • λ = wavelength of light source (m)

  • How is the slit spacing d calculated from the number of lines per unit length, N?

    d = \frac{1}{N}

  • How is the highest order of maxima, n, visible from a diffraction grating calculated?

    n = \frac{d}{\lambda}

    (found by setting θ = 90°, since sin θ = 1). If the result is not a whole number, round down to find the highest order visible.

  • The highest visible order of maxima occurs when the diffraction angle θ = ..........°, since sin θ = 1.

    90

  • In the experiment to determine the wavelength of light using a diffraction grating, how is the angle θ to a given order of maxima found from the measured distances h and D?

    \tan(\theta) = \frac{h}{D} \Rightarrow \theta = \tan^{-1}\left(\frac{h}{D}\right)

    where h = distance from the centre to the order of maxima on the screen, and D = distance from the grating to the screen.

  • State two ways to reduce the percentage uncertainty in h when determining wavelength with a diffraction grating.

    • Take multiple measurements of h (three to eight) and average

    • Use a Vernier scale to measure h

    • Measure across all the fringes and divide by the number of fringes

    • Use a grating with more lines per mm, so h is larger

  • True or False?

    Increasing the grating-to-screen distance D improves the experiment with no drawbacks.

    False.

    Increasing D increases the fringe separation, but it may also decrease the intensity of light reaching the screen.

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