For the H2 molecule the equilibrium spacing of the two atoms is 0.074 nm. The mass of a hydrogen atom is 1.67×10−27. Calculate the wavelength of the photon emitted in the rotational transition ℓ=3 toℓ=2

The value is

Explanation:

From the question we are told that

  The equilibrium spacing is

   The mass of a hydrogen atom is  

    The principal quantum number of the second energy level is

    The principal quantum number of the first  energy level is

Given that the hydrogen molecule is a symmetrical diatomic molecule, its moment of inertia  is mathematically represented as

Generally  for  rotational spectrum the energy level is mathematically represented as

Generally the energy difference between the first energy level and the second energy level is mathematically represented as

=>  

=>

substituting for I  

=>  

Generally this difference in energy level can also be mathematically represented as

=>  

=>  

Here h is Planck's constant with value  

and  c is the speed of light with value  

So  

   =>  

   =>  

   =>  

h

pie chart because it is in percents ( % )