Question:
Two charged particles of same mass but charges in ratio 1:4 enter a uniform perpendicular magnetic field. The ratio of their time periods is:
Two charged particles of same mass but charges in ratio 1:4 enter a uniform perpendicular magnetic field. The ratio of their time periods is:
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Time period in a magnetic field is independent of velocity and radius.
Updated On: Apr 28, 2026
- 1:4
- 1:8
- 8:1
- 4:1
- 2:1
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Time period $T = \frac{2\pi m}{qB}$.
Step 2: Analysis
Since $m$ and $B$ are the same, $T \propto 1/q$.
Step 3: Calculation
$\frac{T_1}{T_2} = \frac{q_2}{q_1} = \frac{4}{1}$. Final Answer: (D)
Time period $T = \frac{2\pi m}{qB}$.
Step 2: Analysis
Since $m$ and $B$ are the same, $T \propto 1/q$.
Step 3: Calculation
$\frac{T_1}{T_2} = \frac{q_2}{q_1} = \frac{4}{1}$. Final Answer: (D)
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