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

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If W = work done, T = Temperature, KB = 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