A cyclotron accelerates charged particles using a perpendicular magnetic field and an alternating electric field.
The principle involves the Lorentz force: \[ F = q(v \times B), \] where: \( q \) is the charge of the particle, \( v \) is the velocity, \( B \) is the magnetic field.
The magnetic field forces the charged particles into a circular trajectory, while the electric field accelerates them each time they cross the gap between the dees.
The decomposition of a compound A follows first-order kinetics. The concentration of A at time t = 0 is 1.0 mol L-1. After 60 minutes, it reduces to 0.25 mol L-1. What is the initial rate of the reaction at t = 0? (Take ln 2 = 0.693)