Ncert Exercises & Solutions

The inverse square law in electrostatic is $|F| = \frac{e^{2}}{(4 {πε}_{0}) r^{2}}$ for the force between an electron and a proton. The $(\frac{1}{r})$ dependence of $|F|$ can be understood in quantum theory as being due to the fact that the particle of light (photon) is massless. If photons had a mass m_p, the force would be modified to $|F| = \frac{e^{2}}{(4 {πε}_{0}) r} [\frac{1}{r^{2}} + \frac{λ}{r}] \cdot \exp (- λ r)$ where $λ = \frac{m_{p} c}{ħ}$ and $ħ = \frac{h}{2 π}$ . Estimate the change in the ground state energy of a H-atom if m_p were 10^-6 times the mass of an electron.

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