Question:
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 :
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 :
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For circular motion in a magnetic field, \(r=\frac{mv}{qB}\).
Updated On: Nov 4, 2026
- 1 : 4
- 4 : 3
- 3 : 1
- 2 : 3
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The Correct Option is B
Solution and Explanation
\(r=\frac{mv}{qB}\), and \(m\) and \(B\) are the same, so \(r\propto\frac vq\).
\(\frac{r_1}{r_2}=\frac{v_1}{v_2}\cdot\frac{q_2}{q_1}=\frac23\cdot\frac21=\frac43\).
Answer: (2) 4 : 3
\(\frac{r_1}{r_2}=\frac{v_1}{v_2}\cdot\frac{q_2}{q_1}=\frac23\cdot\frac21=\frac43\).
Answer: (2) 4 : 3
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