Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

A charged particle with charge q and mass 'm' is moving with velocity 160 ms-1 in the region of magnetic field B at an angle 60° with the direction of \(\vec{B}\). The pitch of helix formed by particle will be:

Options:

\(\frac{100πm}{qB}\)

\(\frac{120π}{qB}\)

\(\frac{160πm}{qB}\)

\(\frac{80πm}{qB}\)

Correct Answer:

\(\frac{160πm}{qB}\)

Explanation:

$ \text{Time period T }= \frac{2\pi m}{qB} $

$ Pitch = \text{Component of velocity along magnetic field}\times \text{Time Period} = \frac{2\pi m}{qB} \times vcos60^o = \frac{2\pi m}{qB} \times 80 = \frac{160\pi m}{qB}$