JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
Two ions having same mass have charges in the ratio \(1: 2\). They are projected normally in a uniform magnetic field with their speeds in the ratio \(2: 3\). The ratio of the radii of their circular trajectories is -
- A \(4: 3\)
- B \(3: 1\)
- C \(2: 3\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(A) \(4: 3\)
Step-by-step Solution
Detailed explanation
\(R =\frac{ mv }{ qB }\) \(\Rightarrow \frac{ R _{1}}{ R _{2}}=\frac{\frac{ mv _{1}}{ q _{1} B }}{\frac{ mv _{2}}{ q _{2} B }}=\frac{ v _{1}}{ q _{1}} \times \frac{ q _{2}}{ v _{2}}=\frac{ q _{2}}{ q _{1}} \times \frac{ v _{1}}{ v _{2}}\)…
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