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CUET · PHYSICS · PYQ PAPER 2025

A proton and an alpha particle of the same velocity enter in turn a region of uniform magnetic field, acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the particles, respectively, would be

  1. A \(1:2\)
  2. B \(1:3\)
  3. C \(2:1\)
  4. D \(3:1\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1:2\)

Step-by-step Solution

Detailed explanation

\( r = \frac{mv}{qB} \) \( \frac{r_p}{r_\alpha} = \frac{(m_p/q_p)}{(m_\alpha/q_\alpha)} = \frac{(m/e)}{(4m/2e)} \) \( \frac{r_p}{r_\alpha} = \frac{1}{2} \)