Question

According to Bohr's theory, the energy required for the transition of H-atom from n = 6 to n = 8 state is:

• A. equal to the energy required for the transition from n = 5 to n = 6 state
• B. larger than the energy required for the transition from n = 7 to n = 9 state
• C. less than the energy required for the transition from n = 7 to n = 9 state
• D. equal to the energy required for the transition from n = 7 to n = 9 state

Answer 1

Answer: (B)

larger than the energy required for the transition from n = 7 to n = 9 state

$\Delta E=13.6eV\times (1/n_1^2-1/n_2^2)$
For transition from $n=6$ to $n=8,\Delta E=13.6eV\times 0.01215$
For transition from $n=5$ to $n=6,\Delta E=13.6eV\times 0.01222$
For transition from $n=7$ to $n=9,\Delta E=13.6eV\times 0.0008$.