MHT CET · Physics · Nuclear Physics
\(m_{p}\) and \(m_{n}\) are masses of proton and neutron respectively. An element of mass \(M\) has \(Z\) protons and \(N\) neutrons then
- A \(M>Z m_{p}+N m_{n}\)
- B \(M=Z m_{p}+N m_{n}\)
- C \(M < Z m_{p}+N m_{n}\)
- D \(M\) may be greater than less than or equal to \(Z m_{p}+N m_{n}\), depending on nature of element
Answer & Solution
Correct Answer
(C) \(M < Z m_{p}+N m_{n}\)
Step-by-step Solution
Detailed explanation
When a nucleus is formed, then the mass of nucleus is slightly less than the sum of the mass of \(Z\) protons and \(N\) neutrons.
ie,
\(
M < \left(Z m_{p}+N m_{n}\right)
\)
ie,
\(
M < \left(Z m_{p}+N m_{n}\right)
\)
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