Two protons are projected simultaneously from a fixed point with the same velocity `v` into a region, magnetic there exists a uniform magnetic field. The magnetic field strength is `B` and it is perpendicular to the initial direction of `v`. One proton starts at time t=0 and another proton at `t = (pim)/(2qB)`. The separation between them at time `t = (pim)/(qB)` (where, m and q are the mass and charge of proton), will be approximately

Options

A. `2(mv)/(qB)`
B. `(sqrt(2)mv)/(qB)`
C. `(mv)/(qB)`
D. `(mv)/(2qB)`

Answer

B