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When the masses of an electron, proton, and neutron are me,mp\text m_\text e,\text m_\text pme​,mp​​, and mn\text m_\text nmn​​, respectively, th
Question

When the masses of an electron, proton, and neutron are me,mp\text m_\text e,\text m_\text p​, and mn\text m_\text n, respectively, then the nuclear mass of an atom ZXA_\text Z\text X^\text A is _________.

A.

Zmp+Nmn+Zme\text{Zm}_\text p+\text{Nm}_\text n+\text{Zm}_\text e​​

B.

Zmp+Nmn\text{Zm}_\text p+\text{Nm}_\text n​​

C.

Zmp+Zme\text{Zm}_\text p+\text{Zm}_\text e​​

D.

Zmn+Nme\text{Zm}_\text n+\text{Nm}_\text e​​

Correct option is B

Given 

me=Mass of electronmp=Mass of protonmn=Mass of neutronZ=Atomic number (number of protons)N=Number of neutrons\begin{aligned}m_e & = \text{Mass of electron} \\m_p & = \text{Mass of proton} \\m_n & = \text{Mass of neutron} \\Z & = \text{Atomic number (number of protons)} \\N & = \text{Number of neutrons}\end{aligned}

The mass number A of an atom is the sum of the number of protons Z and the number of neutrons N:\text{The mass number } A \text{ of an atom is the sum of the number of protons } Z \text{ and the number of neutrons } N:A=Z+NA = Z + N

The nuclear mass of an atom is given by:\text{The nuclear mass of an atom is given by:}

Nuclear Mass=Zmp+Nmn\text{Nuclear Mass} = Z m_p + N m_n​​​​​

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