An expression of energy density is given by u=\frac{\alpha}{\beta} \sin (\frac{\alpha x}{k t}), where \alpha, \beta are constants, x is displacement, k is Boltzmann constant and {\t} is the temperature. The dimensions of \beta will be : [27-Jul-2022-Shift-2]

[ {\ML}^2 {\T}^{-2} \theta^{-1}]

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Physics

Question : 31 of 90

Marks: +1, -0

An expression of energy density is given by u=‌

‌sin(‌

αx

), where α,β are constants, x is displacement, k is Boltzmann constant and t is the temperature. The dimensions of β will be :

[27-Jul-2022-Shift-2]

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