JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
A \(5\) mg particle carrying a charge of \(5\pi\times 10^{-6}\) C is moving with velocity of \((3\hat{i}+2\hat{k})\times 10^{-2}\) m/s in a region having magnetic field \(\vec{B} = 0.1\hat{k}\) Wb/m\(^2\). It moves a distance of \(\alpha\) meter along \(\hat{k}\) when it completes \(5\) revolutions. The value of \(\alpha\) is ________.
- A 2
- B 4
- C 6
- D 8
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Given: Mass of the particle, \(m = 5 \text{ mg} = 5 \times 10^{-6} \text{ kg}\) Charge, \(q = 5\pi \times 10^{-6} \text{ C}\) Velocity, \(\vec{v} = (3\hat{i} + 2\hat{k}) \times 10^{-2} \text{ m/s}\) Magnetic field, \(\vec{B} = 0.1\hat{k} \text{ Wb/m}^2\) The velocity component…
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