If W = work done, T = Temperature, KB = Boltzmann constant, x = Displacement & W = αβ^2 e x^2/αKBT

Question

If W = work done, T = Temperature, K_B = Boltzmann constant, x = Displacement & $W=\alpha\beta^2e^{x^2\over\alpha K_BT}$, then find dimensions of β?

(a) [M¹L²T⁻²]

(b) [M⁻¹L²T⁻²]

(c) [M¹L¹T⁻²]

(d) None of these