A charged particle carrying charge `q=1muc` moves in uniform magnetic with velocity `v_1=10^6m//s` at angle `45^@` with `x`-axis in the `xy`-plane and experiences a force `F_1=5sqrt2mN` along the negative `z`-axis. When te same particle moves with velocity `v_2=10^6m//s` along the `z`-axis it experiences a force `F_2` in `y`-direction. Find
a. the magnitude and direction of the magnetic field
b. the magnitude of the force `F_2`.

Answer

[(a) `(10^(-2)hat(i))T` ; (b) `10^(2)N`]