The mass of an $\alpha$-particle is . . . . . . .

  • A
    Less than the combined mass of $2$ protons and $2$ neutrons.
  • B
    Equal to the mass of $4$ protons.
  • C
    Equal to the mass of $4$ neutrons.
  • D
    Equal to the mass of $2$ protons and $2$ neutrons.

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$M_p$ denotes the mass of a proton and $M_n$ that of a neutron. $A$ given nucleus,of binding energy $B$,contains $Z$ protons and $N$ neutrons. The mass $M(N, Z)$ of the nucleus is given by ($c$ is the velocity of light):

$A$ radioactive nucleus has specific binding energy $E_{1}$. It emits an $\alpha$-particle. The resulting nucleus has specific binding energy $E_{2}$. Then

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