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The inverse sequare law in electrostatic...

The inverse sequare law in electrostatic is `|F| = (e^(2))/((4piepsi_(0))r^(2))` for the force between an electron and a proton. The `(1/r)` dependence of `|F|` can be understood in quantum theo ry as being due to the fact that the particle of light (photon) is massless. If photons had a mass `m_(p)`, force would be modified to `|F| = (e^(2))/((4piepsi_(0))pi^(2)) [ (1)/(r^(2)) + (lambda)/(r)]` .exp`(-lambdar)` where `lambda = (m_(p)c)/(h)` and `h = (h)/(2pi)`. Estimate the change in the gound state energy of a H-atom if `m_(p)` were `10^(-6)` times the mass of the electron.

A

`(81.3lambdar_(B))eV`

B

`(27.2lambdar_(B))eV`

C

`(54.6lambdar_(B))eV`

D

`(108.3lambdar_(B))eV`

Text Solution

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The correct Answer is:
B
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