Question

Provide Explanation

Consider a uniform magnetic field directed along the +z axis. Two charged particles A and B are injected into the field with velocities VA Voit voj, VB Voi If particle A has twice the mass of particle B, i.e., mA 2mB, the ratio of the radii of the circles on O V2 O 2 2

Answer 1

Answer 2

apply centripetal force = magnetic force

i.e mv^2/r = qvB,

where m = mass o the charged particle

v = velocity,   r = radius ,

q = charge = 1.6*10^-19 C

B = magnetic field

so now , r = mv/qB

also KE = PE

0.5 mv^2 = eV

or v = sqrt(2eV/m)

r = (m/qB) sqrt(2eV/m)

so r = sqrt(2mV/qB^2)

so r is directly proprotional to sqrt m

so rA/rB = sqrt(ma/mb)

rA/rBv = sqrt(2)

option 2 it is