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Physics · JEE | Moving Charges and Magnetism

हिन्दी

A proton and an alpha particle with same kinetic energy enter perpendicularly into a uniform magnetic field \( B \). The ratio of their radii of circular paths \( r_p : r_\alpha \) is:

  1. A
    \( 1 : 1 \)
  2. B
    \( 1 : \sqrt{2} \)
  3. C
    \( \sqrt{2} : 1 \)
  4. D
    \( 2 : 1 \)
View Answer & Solution

Correct answer · Option B

\( 1 : \sqrt{2} \)

Explanation

Radius in magnetic field is \( r = \frac{\sqrt{2mK}}{qB} \). Substituting \( m_\alpha = 4m_p \) and \( q_\alpha = 2q_p \), we get \( r_p : r_\alpha = 1 : \sqrt{2} \).
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