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Units \& Dimensions 1. A particle is in a unidirectional potential field where the potential energy (U) of a particle dđ̧ends on the xcoordinate given ${\mathrm{by}}_{\mathrm{y}}=\mathrm{k}(1-\cos \mathrm{ax})\&\mathrm{k}$ and ' $\mathrm{a}$ ' are constants. Find the physical dimensions of ' $\mathrm{a}$ ' \& $\mathrm{k}$. $\mathrm{UD}0001$ 2. The equation for the speed of sound in a gas states that $v=\sqrt{\gamma k_{B}T/m}$. Speed $v$ is measured in m/s, $\gamma$ is a dimensionless constant, $\mathrm{T}$ is temperature in kelvin $(\mathrm{K})$, and $\mathrm{m}$ is mass in $\mathrm{kg}$. Find the SI unit for the

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Updated on: May 15, 2023