Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

$M_p$ 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)

Options:

$M(N, Z)=N M_n+Z M_p-B c^2$

$M(N, Z)=N M_n+Z M_p+B c^2$

$M(N, Z)=N M_n+Z M_p-B / c^2$

$M(N, Z)=N M_n+Z M_p+B / c^2$

Correct Answer:

$M(N, Z)=N M_n+Z M_p-B / c^2$

Explanation:

$B=\left[Z M_p+N M_n-M(N, Z)\right] c^2$

$\Rightarrow M(M, Z)=Z M_p+N M_n-B / c^2$