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COMEDK · Physics · 29. Nuclear Physics

A nucleus with mass number 190 initially at rest emits an alpha particle. If the \(\mathrm{Q}\) value of the reaction is \(4.5 \mathrm{~MeV}\), the kinetic energy of the alpha particle is

  1. A 0.43 MeV
  2. B 4.4 MeV
  3. C 4 MeV
  4. D 3.2 MeV
Verified Solution

Answer & Solution

Correct Answer

(B) 4.4 MeV

Step-by-step Solution

Detailed explanation

Let \(M\) be the mass of the parent nucleus, \(m_{\alpha}\) be the mass of the alpha particle, and \(m_d\) be the mass of the daughter nucleus. The mass number of the parent nucleus is \(A = 190\). The alpha particle has a mass number of \(4\), so the daughter nucleus has a mass…