A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to

Options

A. the velocity
B. the momentum
C. the kinetic energy
D. none of these

Answer

C

Explanation

Area of sector of circle `A = (1)/(2)r^(2) theta`
`A prop r^(2)`
`r = (sqrt(2mK))/(Bq), r prop sqrt(K), A prop K`