An expression of energy density is given by u=αβsinαxkt, where α, β are constants, x is displacement, k is Boltzmann constant and t is the temperature. The dimensions of β will be

Question

An expression of energy density is given by

u = \frac{α}{β} \sin (\frac{α x}{k t})

, where

α, β

are constants,

x

is displacement,

k

is Boltzmann constant and

t

is the temperature. The dimensions of

β

will be

[{ML}^{2} T^{- 2} θ^{- 1}]

[M^{0} L^{2} T^{- 2}]

[M^{0} L^{0} T^{0}]

[M^{0} L^{2} T^{0}]

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