Two identical particles having the same mass m and charges +q and -q separated by a distance d enter a uniform magnetic field B directed perpendicular to paper inwards with speeds `v_1 and v_2` as shown in Fig. The particles will not collide if

Options

A. `dgt(m)/(Bq)(v_(1)+v_(2))`
B. `dlt(m)/(Bq)(v_(1)+v_(2))`
C. `dgt(2m)/(Mq)(v_(1)+v_(2))`
D. `v_(1)=v_(2)`

Answer

C

Explanation

The particles will not collide if
`dgt2(r_(1)+r_(2))`
or `dgt2((mv_(1))/(Bq)+(mv_(2))/(Bq))`
`dgt(2m)/(Bq) (v_(1)+v_(2))`