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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)
    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 eis


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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.
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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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