You visited us 160 times! Enjoying our articles? Unlock Full Access!

Nuclear Stability

A nucleus Z...

Question

A nucleus $_{Z}^{A} X$ has mass represented by $M (A, Z)$ . If $M_{p}$ and $M_{n}$ denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then:

B . E = M (A, Z) Z M p (A - Z) M_{n}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B . E = [M (A, Z) - Z M_{p} - (A - Z) M_{n}] c^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B . E = [Z M_{p} + (A - Z) M_{n} - M (A, Z)] c^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B . E = [Z M_{p} + A M_{n} - M (A, Z)] c^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $B . E = [Z M_{p} + (A - Z) M_{n} - M (A, Z)] c^{2}$
Nuclear Binding Energy is the energy required to split a nucleus of an atom into its component parts : protons and neutrons
It is directly linked with mass defect.
$Δ m = [{Z M}_{p} + (A - Z) M_{n} - M (A, Z)] .$
Binding Energy = $(Δ m) c^{2}$
$B \circ E \circ = [{Z M}_{P} + (A - Z) M_{n} - M (A, Z)] C^{2}$

Suggest Corrections

Similar questions

m_{n}

m_{p}

_{Z} X^{A}

If m, $m_{n}$ and $m_{p}$ are the masses of $_{Z} X^{A}$ nucleus, neutron and proton respectively, then which of the following is correct?

M_{p}

M_{n}

u (1 u = 931.5 M e V / c^{2})

_{Z}^{A} X

m (A, Z)

m_{p}

m_{n}

M (A; Z), M_{p}

M_{n}

_{Z}^{A} X

(1 u = 931.5 M e V / c^{2})

Join BYJU'S Learning Program