Physics

# If $n$ denotes a positive integer, $h$ the Plancks constant, $q$ the charge and $B$ the magnetic field, then the quantity $\begin{pmatrix} \dfrac{nh}{2\pi qB}\end{pmatrix}$ has the dimension of

Area

##### SOLUTION
Since $qvB=F$
$\implies qB=\dfrac{F}{v}$
which has dimensions $[MT^{-1}]$
$h$ has dimensions $[ML^2T^{-1}]$
Hence the dimension of $(\dfrac{nh}{2\pi qB})$ is $[L^2]$, which is that of area.

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Single Correct Medium Published on 18th 08, 2020
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