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. 1.139. 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)/(Bq) (v_1 + v_2)`
D. `v_1 = v_2`

Answer

c

Explanation

The particle will not collide if
`dgt2(r_1+r_2)`
or `dgt2((mv_1)/(Bq)+(mv_2)/(Bq)) or dgt(2m)/(Bq) (v_1+v_2)`