CUET · PHYSICS · PYQ PAPER 2023
A proton and an alpha particle enter a uniform magnetic field with the same velocity and move along circular paths. The time period of the alpha particle will be:
- A Four times that of proton
- B Three times that of proton
- C Same as that of proton
- D Two times that of proton
Answer & Solution
Correct Answer
(D) Two times that of proton
Step-by-step Solution
Detailed explanation
\( T = \frac{2\pi m}{qB} \) \( T_p = \frac{2\pi m_p}{eB} \) \( T_\alpha = \frac{2\pi (4m_p)}{2eB} \) \( T_\alpha = 2 \frac{2\pi m_p}{eB} \) \( T_\alpha = 2 T_p \)
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