Assume that the E versus k relationship for electrons in the conduction band of a hypothetical tetravalent n-type semiconductor can be approximated by E = a.k 2 + constant. The cyclotron resonance for electrons in a field B = 0.1 Wb/m 2 occurs at an angular rotation frequency ωc = 1.8×10^11 rad s^-1 . Find the value of the constant a.

Assume that the E versus k relationship for electrons in the conduction band of a hypothetical tetravalent n-type semiconductor can be approximated by E = a.k 2 + constant. The cyclotron resonance for electrons in a field B = 0.1 Wb/m 2 occurs at an angular rotation frequency ωc = 1.8×10^11 rad s^-1 . Find the value of the constant a.