A particle of mass m and positive charge q, moving with a uniform velocity v, enters a magnetic field B as shown in (a) Find The radius of the circular arc it describes in the magnetic field. (b) find the angle subtended by the arc at the center. (c ) How long does the particle stay inside the magnetic field? (d) Solve the three parts of the above problem if the charge q on the particle is negative.

Answer

A, B, C, D

Explanation

(a)`r=(mv)/(qB)`
(b)Angle Subtended by the arc`=pi/2`
(c)`theta=omegat`
`pi/2=(qBt)/m rArr t=(pim)/(2qB)`
(d)`r=(mv)/(qB) rArr theta=(3pi)/2 rArr t=0/omega =(3pim)/(2qB)`