24P1Q24

24 B

Since the magnetic force provides the required centripetal force, $\displaystyle Bqv=\frac{m{{v}^{2}}}{r}\text{ }\Rightarrow \text{ }r=\frac{mv}{Bq}$

$\displaystyle T=\frac{2\pi r}{v}=\frac{2\pi }{v}\frac{mv}{Bq}=\frac{2\pi m}{Bq}$

T is directly proportional to m, inversely proportional to B and q, independent of v and r.

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