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Positronium consists of an electron and ...

Positronium consists of an electron and a positron (a particle which has the same mass as an electron, but opposite charge) orbiting round their common centre of mass. Calculate the value of the Rydberg constant `(R_(oo))` for this system

A

`R_(oo)//4`

B

`R_(oo)//2`

C

`2R_(oo)`

D

`R_(oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Mass of electron = mass of positron = m
If `mu` is the reduced mass of the system,
then `1/mu=1/m+1/m`
`mu=m//2`
`R_(oo)` is the Rydberg constant for electron And `Rpropm`
So the Rydberg constant for the system
`R=R_(oo)xx1/2rArrR=R_(oo)//2`.
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