IIT JAM Exam > IIT JAM Questions > X-ray diffraction of a cubic crystal gives an...
Start Learning for Free
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20°
corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.
(Consider wavelength of X-ray = 0.15 nm)
corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.
(Consider wavelength of X-ray = 0.15 nm)
Correct answer is between '0.28,0.35'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
X-ray diffraction of a cubic crystal gives an intensity maximum for Br...
Explanation:
The Bragg's Law states that for constructive interference of X-rays, the path difference between the two adjacent planes should be equal to the wavelength of the X-rays. This can be expressed as follows:
2d sinθ = nλ
where d is the interplanar spacing, θ is the Bragg angle, n is an integer, and λ is the wavelength of the X-rays.
In this problem, the Bragg angle is given as 20° and the (110) plane is specified. For a cubic crystal, the interplanar spacing can be calculated as follows:
d = a/√2
where a is the lattice parameter. Substituting this value in the Bragg's Law equation, we get:
2a sin(20°)/√2 = n(0.15 nm)
Simplifying the equation, we get:
a = nλ√2/sin(20°)
Substituting n = 1 (since the (110) plane is specified), λ = 0.15 nm, and sin(20°) = 0.342, we get:
a = (1)(0.15 nm)(√2)/0.342 = 0.28 nm
Therefore, the lattice parameter of the cubic crystal is 0.28 nm.
Answer: The lattice parameter of the cubic crystal is between 0.28 and 0.35 nm.
The Bragg's Law states that for constructive interference of X-rays, the path difference between the two adjacent planes should be equal to the wavelength of the X-rays. This can be expressed as follows:
2d sinθ = nλ
where d is the interplanar spacing, θ is the Bragg angle, n is an integer, and λ is the wavelength of the X-rays.
In this problem, the Bragg angle is given as 20° and the (110) plane is specified. For a cubic crystal, the interplanar spacing can be calculated as follows:
d = a/√2
where a is the lattice parameter. Substituting this value in the Bragg's Law equation, we get:
2a sin(20°)/√2 = n(0.15 nm)
Simplifying the equation, we get:
a = nλ√2/sin(20°)
Substituting n = 1 (since the (110) plane is specified), λ = 0.15 nm, and sin(20°) = 0.342, we get:
a = (1)(0.15 nm)(√2)/0.342 = 0.28 nm
Therefore, the lattice parameter of the cubic crystal is 0.28 nm.
Answer: The lattice parameter of the cubic crystal is between 0.28 and 0.35 nm.
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer?
Question Description
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer?.
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer?.
Solutions for X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer?, a detailed solution for X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? has been provided alongside types of X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice X-ray diffraction of a cubic crystal gives an intensity maximum for Bragg angle of 20corresponding to the (110) plane. The lattice parameter of the crystal is __________nm.(Consider wavelength of X-ray = 0.15 nm)Correct answer is between '0.28,0.35'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup