# A particle is projected perpendicular to a uniform magnetic field. The area bounded by the trajectory of the particle is directly proportional to

$\begin {array} {1 1} (a)\;Velocity & \quad (b)\;Momentum \\ (c)\;Kinetic\: Energy & \quad (d)\;None \: of\: these \end {array}$

$A\: \alpha\: R^2$  and R = m V/qB
$R\: \alpha\: V \Rightarrow A \: \alpha\: V^2$
Ans : (c)

edited Sep 19, 2014