JEE Main · PhysicsHard
An electron in a hydrogen atom makes a transition from the $n=3$ state to the $n=1$ state. The recoil velocity of the hydrogen atom is approximately given by which expression, where $m$ is the electron mass and $M$ is the atom mass?
- A.$\frac{8hR}{9M}$
- B.$\frac{hR}{9M}$
- C.$\frac{3hR}{4M}$
- D.$\frac{hR}{3M}$
Show correct answer & step-by-step solution
Correct answer: A — $\frac{8hR}{9M}$
Solution
The energy of the emitted photon is . Using and , we find .
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