Physics

Problem

Two particles,

A

and

B

, carry the same positive charge

q

and move perpendicular to the same uniform magnetic field with equal kinetic energies. a. (i) Show that the radius

r

of the circular path is proportional to

\sqrt{m}

, where

m

is the mass of the particle. b. (ii) If

B

has four times the mass of

A

(i.e.

m_B = 4m_A

), find the ratio

\dfrac{r_B}{r_A}