The wavelengths involved in the spectrum of deuterium \left ( _{1}^{2} D\right ) are slightly different from that of hydrogen spectrum, because

  • Option 1)

    size of the two nuclei are different

  • Option 2)

    nuclear forces are different in the two cases

  • Option 3)

    masses of the two nuclei are different

  • Option 4)

    attraction between the electron and the nucleus is different in the two cases.

 

Answers (1)

As we learnt in

Effect of nucleas motion on radius of atom -

r_{n}^{1}= r_{n}\left ( 1+\frac{m_{e}}{m_{N}} \right )

- wherein

r_{n}^{1}=  Radius  of nth orbital with nucleus motion

r_{n}= Radius of nth orbital without nucleus motion

m_{e}=mass of electron

m_{N}=mass of nucleus

 

 

Masses of    {_{1}}H^{1}    and   {_{1}}D^{2} are different. Hence the corresponding wavelengths are different.

Correct option is 3.


Option 1)

size of the two nuclei are different

This is an incorrect option.

Option 2)

nuclear forces are different in the two cases

This is an incorrect option.

Option 3)

masses of the two nuclei are different

This is the correct option.

Option 4)

attraction between the electron and the nucleus is different in the two cases.

This is an incorrect option.

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