Two particles of masses `m_a` and `m_b` and same charge are projected in a perpendicular magnetic field . They travel along circular paths of radius `r_(a)` and `r_(b)` such that `r_(a) gt r_(b)` . Then which is true ?

Options

A. `m_agtm_bandv_agtv_b`
B. `m_av_agtm_bv_b`
C. `m_bv_bgtm_av_a`
D. `m_a=m=m_bandv_agtv_b`

Answer

B

Explanation

For the charged particle, moving in a transverse magnetic field,`(mv^(2))/r=qvB thereforemv=qBr therefore (m_av_a)/(m_bv_b)=(qBr_a)/qBr_b=r_a/r_b`but `e_agtr_b therefore m_av_b`.