JEE Mains · Physics · STD 12 - 12. atoms
If an electron is moving in the \(n ^{\text {th }}\) orbit of the hydrogen atom, then its velocity \(\left( v _{ n }\right)\) for the \(n ^{\text {th }}\) orbit is given as
- A \(v _{ n } \propto n\)
- B \(v _{ n } \propto \frac{1}{ n }\)
- C \(v _{ n } \propto n ^{2}\)
- D \(v _{ n } \propto \frac{1}{ n ^{2}}\)
Answer & Solution
Correct Answer
(B) \(v _{ n } \propto \frac{1}{ n }\)
Step-by-step Solution
Detailed explanation
We know velocity of electron in \(n ^{\text {th }}\) shell of hydrogen atom is given by \(v =\frac{2 \pi k Ze ^{2}}{ nh }\) \(\therefore v \propto \frac{1}{ n }\)
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