Question

the reduced mass of hydrogen atom is equal to ​

Answer 1

Answer:

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Answer 2

m / ( 1 + m/M ) .

Concept to use:

Reduced mass (μ):

• When the 2 bodies are in the relative motion & they are acted upon by the central force involving Newton's law then a system can be replaced by the single mass called the reduced mass.

• A hydrogen atom consists of an electron, of mass m, Orbiting the proton, of the mass M, where m is very smaller than M. The reduced mass of the hydrogen atom can be defined by :

         μ = (mM) / (m+M)

• Reduced mass of the hydrogen atom is (Here m - a mass of a electron and  M - a mass of a proton)

        μ =  (mM) / (m+M)

• Above equation can written for the mass of an electron is:

       μ =  m / ( 1 + m/M )

Hence the reduced mass μ of a system is nearly the same as a electron mass m, & the center of mass of the system is nearly in the same place as a proton.

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