WBJEE · Physics · Atomic Physics
To which of the following the angular velocity of the electron in the \(n\) -th Bohr orbit is proportional?
- A \(n^{2}\)
- B \(\frac{1}{n^{2}}\)
- C \(\frac{1}{n^{3 / 2}}\)
- D \(\frac{1}{n^{3}}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{n^{3}}\)
Step-by-step Solution
Detailed explanation
According to the Bohr's atomic model. \(\text {Angular momentum, } L=m v=\frac{n h}{2 \pi}....(i)\) since, angular velocity \(\omega=\frac{v}{r}\) \(\Rightarrow v=r \omega\) From Eq. (i), we get…
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