Answer to Question #147320 in Physics for Akrix Salram

Question

An alpha particle travelling at the velocity of 100 km/s flies at an angle 20° into a 1 meter wide area of homogeneous magnetic field with induction 10 mT as shown in the figure. The velocity direction of alpha particle is perpendicular to the field induction lines. In what time will the alpha particle leave the homogeneous magnetic field? Neglect the gravity action. Take the alpha particle charge-to mass ratio as 4.8 x (10)^7 C/kg. Give your answer in microseconds and round it to the whole.

Answer 1

$$t=0.5T=\frac{\pi m}{qB}\\t=\frac{\pi }{(4.8\cdot10^{7})(0.01)}=6.5\cdot10^{-6}\ s$$