A charged particle of unit mass and unit charge moves with velocity in a magnetic field

PHYSICS · Multi correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A charged particle of unit mass and unit charge moves with velocity

\mathbf{v}=(8\hat{i}+6\hat{j})\,\mathrm{m\,s^{-1}}

in a magnetic field

\mathbf{B}=2\hat{k}\,\mathrm{T}

. Choose the correct alternative(s). (1) The path of the particle may be

x^2+y^2-4x-21=0

. (2) The path of the particle may be

x^2+y^2=25

. (3) The path of the particle may be

y^2+z^2=25

. (4) The time period of the particle will be

3.14\,\mathrm{s}