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In a diffraction experiment, monochromatic X-rays of wavelength 1.54 Å are used to examine a
material with a BCC structure. If the lattice parameter is 4.1 Å, the angular position θ of the first
diffraction peak is ________________ degrees.
    Correct answer is between '15.35,15.45'. Can you explain this answer?
    Most Upvoted Answer
    In a diffraction experiment, monochromatic X-rays of wavelength 1.54 &...
    Å (angstroms) are incident on a crystal with a spacing between lattice planes of 2.82 Å. What is the angle of diffraction for the first order maximum?

    To find the angle of diffraction for the first order maximum, we can use the equation:

    sin(θ) = (n * λ) / d

    Where:
    θ is the angle of diffraction
    n is the order of the maximum (in this case, n = 1)
    λ is the wavelength of the X-rays
    d is the spacing between lattice planes

    Plugging in the given values:

    sin(θ) = (1 * 1.54 Å) / 2.82 Å

    Note that 1 Å = 10^(-10) m, so we can convert the units:

    sin(θ) = (1 * 1.54 * 10^(-10) m) / (2.82 * 10^(-10) m)

    sin(θ) = (1.54 / 2.82)

    Taking the inverse sine of both sides:

    θ = arcsin(1.54 / 2.82)

    Using a calculator to find the inverse sine:

    θ ≈ 32.6 degrees

    Therefore, the angle of diffraction for the first order maximum is approximately 32.6 degrees.
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    Community Answer
    In a diffraction experiment, monochromatic X-rays of wavelength 1.54 &...
    Use Bragg's Law for {110} family of planes.
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    In a diffraction experiment, monochromatic X-rays of wavelength 1.54 Å are used to examine amaterial with a BCC structure. If the lattice parameter is 4.1 Å, the angular position θ of the firstdiffraction peak is ________________ degrees.Correct answer is between '15.35,15.45'. Can you explain this answer?
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    In a diffraction experiment, monochromatic X-rays of wavelength 1.54 Å are used to examine amaterial with a BCC structure. If the lattice parameter is 4.1 Å, the angular position θ of the firstdiffraction peak is ________________ degrees.Correct answer is between '15.35,15.45'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a diffraction experiment, monochromatic X-rays of wavelength 1.54 Å are used to examine amaterial with a BCC structure. If the lattice parameter is 4.1 Å, the angular position θ of the firstdiffraction peak is ________________ degrees.Correct answer is between '15.35,15.45'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a diffraction experiment, monochromatic X-rays of wavelength 1.54 Å are used to examine amaterial with a BCC structure. If the lattice parameter is 4.1 Å, the angular position θ of the firstdiffraction peak is ________________ degrees.Correct answer is between '15.35,15.45'. Can you explain this answer?.
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