A charged particle of unit mass and unit charge moves with velocity `vecv=(8hati+6hatj)ms^-1` in magnetic field of `vecB=2hatkT`. Choose the correct alternative (s).

Options

A. The path of the particle may be `x^(2)+y^(2)-4x-21=0`
B. The path of the particle may be `x^(2)+y^(2)=25`
C. The path of the particle may be `y^(2)+z^(2)=25`
D. The time period of the particle will be `3.14s`.

Answer

B,D

Explanation

`r=(mv)/(qB)=(1xx10)/(1xx2)=5m, T=(2pim)/(qB)=(2pixx1)/(1xx2)=pi` Path of particle will be circle having radius equal to 5m