Two particles of masses m₁=m, m₂=2 m and charges q₁=q, q₂=2 q entered into uniform magnetic field with the same velocity and at the same angle. Find F₁ / F₂ (force ratio).

Step-by-step solution

The magnetic force acting on a charged particle moving in a uniform magnetic field is given by the expression F = q( v B ) . The magnitude of the force is F = qvB , where v is the velocity of the particle, B is the magnetic field strength, and is the angle between the velocity vector and the magnetic field vector. The particles enter the magnetic field with the same velocity v and at the same angle relative to the magnetic field, the force on each particle is F₁ = q₁ v B and F₂ = q₂ v B . Substituting the given val