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Q)

The cyclotron frequency $W= \large\frac{eB}{m}$ has correct dimension of $[T]^{-1}$. Is this statement true or false

$\begin{array}{1 1} True \\ false \\ zero \\ none\;of\; the \;above \end{array} $

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A)
Solution :
$q v B= \large\frac{mv^2}{r}$
=> $\large\frac{qB}{m} = \frac{v}{r}$
$\qquad=w$
Dimensions of $w$ is $[T^{-1}]$ and that of $\large\frac{LT^{-1}}{L}=$$[T^{-1}]$
Hence it is dimensionally correct.
Hence it is a true statement
Answer : True
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