Two particles `A and B` of masses ` m_(A) and m_(B)` respectively and having the same charge are moving in a plane . The speeds of the particles are ` v_(A) and v_(B)` respectively and the trajectories are as shown in the figure. Then

Options

A. `m_(A) V_(A) lt m_(B) v_(B)`
B. `m_(A) V_(A) gt m_(B) v_(B)`
C. `m_(A) lt m_(B)` and `v_(A) lt v_(B)`
D. `m_(A) = m_(B)` and `v_(A) = v_(B)`

Answer

B

Explanation

`r = (mv)/(qB) implies r prop mv` (`q` and `B` are constant)
`:' r_(A) gt r_(B) implies m_(A) V_(A) gt m_(B) v_(B)`