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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

In the relation $p = \frac{α}{β} e^{- α Z / k θ}, p$ is pressure, $Z$ is distance, $k$ is Boltzmann constant and $θ$ is the temperature. The dimensional formula of $α$ is

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Answer:

Solution:

$\frac{α Z}{k θ}$
is dimensionless, so
$[α] = \frac{[ k θ ]}{[ Z ]}$
$= \frac{[ M L ^{2} T ^{- 2} ]}{[ L ]}$
$= [M L T^{- 2}]$
, the dimensions of force.

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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