15. The ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is Options: (a) rises continuously (b) remains unchanged in the process (c) first rises and then falls to the original position (d) first falls and then rises to the original position [ans :d]

15. The ratio of the difference in energy between the first and the se

1.	15. The ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is Options: (a) rises continuously (b) remains unchanged in the process (c) first rises and then falls to the original position (d) first falls and then rises to the original position [ans :d]
Answer» ION :For H-atomE3=−13.632E3=−13.632=−13.69=−13.69=−1.5eV=−1.5eVE2=−13.622E2=−13.622=−13.64=−13.64=−3.4eV=−3.4eVE1=−13.612E1=−13.612=−13.61=−13.61=−13.6eV=−13.6eVNow E2−E1=(−3.4)−(−13.6)E2−E1=(−3.4)−(−13.6)=13.6−3.4=10.2eV=13.6−3.4=10.2eVE3−E2=(−1.5)−(3.4)E3−E2=(−1.5)−(3.4)=3.4−1.5=1.9eV=3.4−1.5=1.9eV∴E2−E1E3−E2=10.21.9∴E2−E1E3−E2=10.21.9eVeV=5.4=275