A charged particle of mass `10^-3 kg` and charge `10^-5 C` enters a magnetic field of induction 1 T. If `g = 10 ms^-2,` for what value of velocity will it pass straight through the field without deflection?

Options

A. `10^(-3)ms^(-1)`
B. `10^(3) ms^(-1)`
C. `10^(6)ms^(-1)`
D. `1 ms^(-1)`

Answer

B

Explanation

Since the charged particle passes straight without deflection, therefore weight force is balanced by the magnetic force,
Bqv= mg
or `v= (mg)/(Bq) = (10^(-3) xx 10)/(1 xx 10^(-5)) = 10^(3) ms^(-1)`