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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA stationary radium nucleus of mass number \( 226 \) decays by emitting an alpha particle of mass number \( 4 \), leaving behind a radon nucleus of mass number \( 222 \). The ratio of the magnitude of velocity of the radon nucleus to that of the alpha particle is:
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Correct answer · Option B
\( 2 : 111 \)
Explanation
By conservation of linear momentum, \( m_{\text{Rn}} v_{\text{Rn}} = m_\alpha v_\alpha \). Therefore, \( \frac{v_{\text{Rn}}}{v_\alpha} = \frac{m_\alpha}{m_{\text{Rn}}} = \frac{4}{222} = \frac{2}{111} \).
