A charged particle moves in a region of uniform magnetic field along a helical path (radius = 5.0 cm, pitch = 12 cm, period = 5.0 ms). What is the speed of this particle as it moves along this path?
A) 67 m/s
B) 26 m/s
C) 63 m/s
D) 24 m/s
E) 87 m/s

Question

Quizplus · Accepted Answer

The speed of the particle is given by:v = 2πr/Twhere r is the radius of the helix, T is the period of the helix, and v is the speed of the particle.Plugging in the given values, we get:v = 2π(0.05 m)/(5.0 ms) = 62.8 m/sTherefore, the speed of the particle is 62.8 m/s, which is closest to choice A, 67 m/s.

A Charged Particle Moves in a Region of Uniform Magnetic