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Assume that E vs k relationship of e- in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed by
E = ak2 + constant
The cyclotron resonance for e- in a field B = 0.1 wb/m2 occurs at ωe = 1.8 x 1011 rad/s
The value of a =________x 10-38 J. m2 (Round off to one decimal place)
E = ak2 + constant
The cyclotron resonance for e- in a field B = 0.1 wb/m2 occurs at ωe = 1.8 x 1011 rad/s
The value of a =________x 10-38 J. m2 (Round off to one decimal place)
Correct answer is between '6.1,6.3'. Can you explain this answer?
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Assume that E vs k relationship of e- in conduction band ofliypothetic...
⇒ An e- in conduction band behave as if it had an effective mass m* given by
and cyclotron resonance frequency for e- is
and cyclotron resonance frequency for e- is
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Assume that E vs k relationship of e- in conduction band ofliypothetic...
To find the value of the cyclotron resonance for e- in a field B = 0.1 Wb/m^2, we need to use the expression for the relationship between energy and wavevector in the conduction band of the semiconductor.
The given relationship is E = ak^2, where E is the energy and k is the wavevector. Since the cyclotron resonance occurs when the energy of the electron matches the energy of the magnetic field, we can equate the two:
E = B * h / (2 * pi * m)
Where B is the magnetic field, h is Planck's constant, and m is the mass of the electron.
Substituting the given values, B = 0.1 Wb/m^2, h = 6.626 x 10^-34 J.s, and m = 9.10938356 x 10^-31 kg, we can solve for E:
E = (0.1 Wb/m^2) * (6.626 x 10^-34 J.s) / (2 * pi * 9.10938356 x 10^-31 kg)
E ≈ 1.827 x 10^8 J
Therefore, the cyclotron resonance for e- in a field B = 0.1 Wb/m^2 occurs at approximately 1.827 x 10^8 J.
The given relationship is E = ak^2, where E is the energy and k is the wavevector. Since the cyclotron resonance occurs when the energy of the electron matches the energy of the magnetic field, we can equate the two:
E = B * h / (2 * pi * m)
Where B is the magnetic field, h is Planck's constant, and m is the mass of the electron.
Substituting the given values, B = 0.1 Wb/m^2, h = 6.626 x 10^-34 J.s, and m = 9.10938356 x 10^-31 kg, we can solve for E:
E = (0.1 Wb/m^2) * (6.626 x 10^-34 J.s) / (2 * pi * 9.10938356 x 10^-31 kg)
E ≈ 1.827 x 10^8 J
Therefore, the cyclotron resonance for e- in a field B = 0.1 Wb/m^2 occurs at approximately 1.827 x 10^8 J.
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Assume that E vs k relationship of e- in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed byE = ak2 + constantThe cyclotron resonance for e-in a field B = 0.1 wb/m2occurs atωe=1.8 x 1011rad/sThe value of a =________x 10-38J. m2 (Round off to one decimal place)Correct answer is between '6.1,6.3'. Can you explain this answer?
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Assume that E vs k relationship of e- in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed byE = ak2 + constantThe cyclotron resonance for e-in a field B = 0.1 wb/m2occurs atωe=1.8 x 1011rad/sThe value of a =________x 10-38J. m2 (Round off to one decimal place)Correct answer is between '6.1,6.3'. 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 Assume that E vs k relationship of e- in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed byE = ak2 + constantThe cyclotron resonance for e-in a field B = 0.1 wb/m2occurs atωe=1.8 x 1011rad/sThe value of a =________x 10-38J. m2 (Round off to one decimal place)Correct answer is between '6.1,6.3'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assume that E vs k relationship of e- in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed byE = ak2 + constantThe cyclotron resonance for e-in a field B = 0.1 wb/m2occurs atωe=1.8 x 1011rad/sThe value of a =________x 10-38J. m2 (Round off to one decimal place)Correct answer is between '6.1,6.3'. Can you explain this answer?.
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