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The gravitational force between a H-atom...

The gravitational force between a H-atom and another particle of mass m will be given by Newton's law: `F=G (M.m)/(r^(2)`, where r is in km and

A

`M=m_("proton")+m_("electron ")`

B

`M=m_("proton")+m_("electron")-(B)/(c^(2))" "(B=13.6" eV")`.

C

M is not related to the mass of the hydrogen atom.

D

`M=m_("proton")+m_("electron")-(|V|)/(c^(2)) (|V|="magnitude of the potential energy of electron in the H-atom")`.

Text Solution

Verified by Experts

The correct Answer is:
B

During formation of H-atom, some mass of nucleons convert into energy by the equation
`E=mc^(2)`
This energy is used to bind the nucleons along with nucleus. So mass of atom becomes slightly less than sum of actual masses of nucleons and electrons.
Actual mass of H-atom `=M_(0)+M_(e)-("B.E.")/(c^(2))" "((B)/(c^(2))=" Binding energy")`
So, the binding energy of H atoms is 13.6 eV per atom.
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