A charged particle of specific charge (i.e charge per unit mass) 0.2 C/kg has velocity `2 hat(i) - 3 hat(j)` (m/s) at some instant in a uniform magnetic field `5 hat(i) + 2 hat(j)` (tesla). Find the acceleration of the particle at this instant

Explanation

`vec(a) = (vec(F))/(m) = (q)/(m) (vec(v) xx vec(B))`
`rArr (q)/(m) = 0.2 C//kg`
`hat(v) = 2 hat(i) - 3 hat(j) m//s`
`bev(B) = 5hat(j) + 2 hat(j)T`
Therefore, `vec(a) = 0.2 (2 hat(i) - 3 hat(j)) xx (5 hat(i) + 2 hat(j)) m//s^(2)`
`= 0.2 [4hat(k) + 15 hat(k)] m//s^(2)`
`rArr vec(a) = 3.8 hat(k) m//s^(2)`