Alpha particles,each having a charge of +2e and a mass of 6.64 × 10^-27 kg,are accelerated in a uniform 0.80-T magnetic field to a final orbit radius of 0.30 m.The field is perpendicular to the velocity of the particles.How long does it take an alpha particle to make one complete circle in the final orbit? (e = 1.60 × 10^-19C) A)0.15 μs B)0.25 μs C)0.33 μs D)0.40 μs

Question

Quizplus · Accepted Answer

The correct answer is A.The time period of an alpha particle in a magnetic field is given by:T = 2πr / vwhere r is the radius of the orbit and v is the velocity of the particle.The velocity of the particle can be found from the centripetal force equation:mv^2 / r = qvBwhere m is the mass of the particle, q is the charge of the particle, and B is the magnetic field strength.Substituting the given values into these equations, we get:T = 2π(0.30 m) / (2.99 × 10^8 m/s) = 0.15 μs

Alpha Particles,each Having a Charge of +2e and a Mass