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WBJEE · Physics · Nuclear Physics

A nucleus X emits a beta particle to produce a nucleus Y. If their atomic masses are \(\mathrm{M}_{\mathrm{x}}\) and \(\mathrm{M}_{\mathrm{y}}\) respectively, the maximum energy of the beta particle emitted is (where \(m_{e}\) is the mass of an electron and \(c\) is the velocity of light)

  1. A \(\left(\mathrm{M}_{\mathrm{x}}-\mathrm{M}_{\mathrm{y}}-\mathrm{m}_{\mathrm{e}}\right) \mathrm{c}^{2}\)
  2. B \(\left(M_{x}-M_{y}+m_{e}\right) \mathrm{c}^{2}\)
  3. C \(\left(M_{x}-M_{y}\right) \mathrm{c}^{2}\)
  4. D \(\left(M_{x}-M_{y}-2 m_{e}\right) \mathrm{c}^{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left(M_{x}-M_{y}\right) \mathrm{c}^{2}\)

Step-by-step Solution

Detailed explanation

Hint: \(\mathrm{m}_{\mathrm{x}}=\mathrm{M}_{\mathrm{x}}-\mathrm{zm}_{\mathrm{e}}\)…