Nuclear Physics And Radioactivity Question 43
Question: In the Bohr model of the hydrogen atom, let R, v and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n [Pb. PET 2001; KCET 2002]
Options:
A) R/E
B) E/v
C) RE
D) vR
Show Answer
Answer:
Correct Answer: D
Solution:
Rydberg constant $ R=\frac{{\varepsilon_{0}}n^{2}h^{2}}{\pi mZe^{2}} $ Velocity $ v=\frac{Ze^{2}}{2{\varepsilon_{0}}nh} $ and energy $ E=-\frac{mZ^{2}e^{4}}{8\varepsilon _{0}^{2}n^{2}h^{2}} $ Now, it is clear from above expressions R.v µ n
BETA
