Modern Physics 1 Question 51
47. A hydrogen like atom of atomic number is in an excited state of quantum number . It can emit a maximum energy photon of . If it makes a transition to quantum state , a photon of energy is emitted. Find and the ground state energy (in ) of this atom. Also, calculate the minimum energy (in ) that can be emitted by this atom during de-excitation. Ground state energy of hydrogen atom is .
Show Answer
Answer:
Correct Answer: 47.
Solution:
- Let ground state energy (in
) be .
Then, from the given condition
From Eqs. (i) and (ii),
From Eq. (ii),