Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

A charged particle enters a uniform magnetic field with velocity vector at an angle of 45° with the magnetic field. The pitch of the helical path is p. The radius of the helix will be

Options:

$\frac{p}{\pi}$

$\frac{p}{2\pi}$

$\sqrt{2}p$

$\frac{p}{2\sqrt{\pi}}$

Correct Answer:

$\frac{p}{2\pi}$

Explanation:

Pitch P = $\frac{2\pi mv sin\theta}{qB} = 2\pi R$ 

Since R = $\frac{mvcos\theta}{qB}$

$\Rightarrow R = \frac{P}{2\pi}$