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In the X-ray diffraction of a set of crystal planes having d equal to 0.18 nm, first order reflection is found to be at an angle of 22°. The wavelength of X-rays is: (sin 22° = 0.374, cos 22° = 0.927)
- a)0.0745 nm
- b)0.0137 nm
- c)0.745 nm
- d)0.135 nm
Correct answer is option 'D'. Can you explain this answer?
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In the X-ray diffraction of a set of crystal planes having d equal to ...
To find the wavelength of the X-ray used in the diffraction, we can use Bragg's law, which states:
nλ = 2dsinθ
where n is the order of reflection, λ is the wavelength of the X-ray, d is the spacing between crystal planes, and θ is the angle of reflection.
In this case, the first order reflection (n = 1) is observed at an angle of 22°. The spacing between crystal planes (d) is given as 0.18 nm.
Plugging these values into Bragg's law, we get:
1 * λ = 2 * 0.18 nm * sin(22°)
Simplifying the equation, we have:
λ = 0.36 nm * sin(22°)
Using a calculator, we find that sin(22°) ≈ 0.3746.
Substituting this value into the equation, we have:
λ ≈ 0.36 nm * 0.3746
λ ≈ 0.1349 nm
Therefore, the approximate wavelength of the X-ray used in the diffraction is 0.1349 nm.
nλ = 2dsinθ
where n is the order of reflection, λ is the wavelength of the X-ray, d is the spacing between crystal planes, and θ is the angle of reflection.
In this case, the first order reflection (n = 1) is observed at an angle of 22°. The spacing between crystal planes (d) is given as 0.18 nm.
Plugging these values into Bragg's law, we get:
1 * λ = 2 * 0.18 nm * sin(22°)
Simplifying the equation, we have:
λ = 0.36 nm * sin(22°)
Using a calculator, we find that sin(22°) ≈ 0.3746.
Substituting this value into the equation, we have:
λ ≈ 0.36 nm * 0.3746
λ ≈ 0.1349 nm
Therefore, the approximate wavelength of the X-ray used in the diffraction is 0.1349 nm.
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In the X-ray diffraction of a set of crystal planes having d equal to ...
Concept:
Bragg’s Law states that when an X-ray beam are allowed to scatter through a crystalline surface, its angle of incidence θ will reflect with some angle of scattering θ. And when the path difference d is equal to a whole number n, of wavelength.
It can be represented as
2dsinθ =nλ
Calculation:
Given:
d = 0.18 nm, n = 1, θ = 22°
From Bragg’s law:
2d sin θ = nλ
2 × 0.18 × sin 22° = 1 ⋅ λ
λ = 0.13464 nm
Bragg’s Law states that when an X-ray beam are allowed to scatter through a crystalline surface, its angle of incidence θ will reflect with some angle of scattering θ. And when the path difference d is equal to a whole number n, of wavelength.
It can be represented as
2dsinθ =nλ
Calculation:
Given:
d = 0.18 nm, n = 1, θ = 22°
From Bragg’s law:
2d sin θ = nλ
2 × 0.18 × sin 22° = 1 ⋅ λ
λ = 0.13464 nm
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In the X-ray diffraction of a set of crystal planes having d equal to 0.18 nm, first order reflection is found to be at an angle of 22°. The wavelength of X-rays is: (sin 22° = 0.374, cos 22° = 0.927)a)0.0745 nmb)0.0137 nmc)0.745 nmd)0.135 nmCorrect answer is option 'D'. Can you explain this answer?
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In the X-ray diffraction of a set of crystal planes having d equal to 0.18 nm, first order reflection is found to be at an angle of 22°. The wavelength of X-rays is: (sin 22° = 0.374, cos 22° = 0.927)a)0.0745 nmb)0.0137 nmc)0.745 nmd)0.135 nmCorrect answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about In the X-ray diffraction of a set of crystal planes having d equal to 0.18 nm, first order reflection is found to be at an angle of 22°. The wavelength of X-rays is: (sin 22° = 0.374, cos 22° = 0.927)a)0.0745 nmb)0.0137 nmc)0.745 nmd)0.135 nmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the X-ray diffraction of a set of crystal planes having d equal to 0.18 nm, first order reflection is found to be at an angle of 22°. The wavelength of X-rays is: (sin 22° = 0.374, cos 22° = 0.927)a)0.0745 nmb)0.0137 nmc)0.745 nmd)0.135 nmCorrect answer is option 'D'. Can you explain this answer?.
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