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A hydrogen atom at rest makes transition...

A hydrogen atom at rest makes transition from third excited state to ground state. The speed acquired by the hydrogen atom due to emission of photon is given by `x/y``(hR)/m`, where `x` and `y` are coprime numbers. Find the value of `x+y`. [`h =` Planck's constant, `m=` mass of hydrogen atom and `R=` Rydberg constant]

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