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# Which of the following particles will describe the smallest circle when projected with the same velocity perpendicular to a constant magnetic field?

$\begin {array} {1 1} (a)\;Electron & \quad (b)\;Proton \\ (c)\;He^+ & \quad (d)\;Li^{++} \end {array}$

The radius of the path taken by a charged particle in amagnetic field is given by
$R = \large\frac{mV}{qB}$ . The mass by charge ratio is least for electron , thus it will have least radius.
Ans : (a)

edited Sep 15, 2014