A) v
B) \[\frac{22}{5}v\]
C) \[\frac{5}{2}\]
D) \[\frac{2}{5}v\]
Correct Answer: D
Solution :
Velocity of electron in nth orbit \[{{v}_{n}}=\frac{Z{{e}^{2}}}{2{{\varepsilon }_{0}}nh}\] \[\Rightarrow \] \[v\propto \frac{1}{n}\] \[{{v}_{1}}=v,\,\,{{n}_{1}}=2,\,\,{{n}_{2}}=5\] \[\therefore \] \[\frac{v}{{{v}_{2}}}=\frac{{{n}_{2}}}{{{n}_{1}}}\] \[\therefore \] \[\frac{v}{{{v}_{2}}}=\frac{5}{2}\] \[\Rightarrow \] \[{{v}_{2}}=\frac{2v}{5}\]
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