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
`Bqv=mg`
or `v=(mg)/(Bq)=(10^-3xx10)/(1xx10^-5)=10^3ms^-1`