| (I) linear momentum is proportional to 1/n |
| (II) radius is proportional to n |
| (III) kinetic energy is proportional to \[1/{{n}^{2}}\] |
| (IV) angular momentum is proportional ton |
A) I, III, IV are correct
B) Only I is correct
C) I and II are correct
D) Only III is correct
Correct Answer: A
Solution :
According to Bohr's theory of hydrogen atom, angular momentum is quantised i.e. \[L=m{{v}_{n}}{{r}_{n}}=n\left( \frac{h}{2\pi } \right)\,\,or\,\,L\propto n\] Radius of the orbit, \[{{r}_{n}}\propto \,\frac{{{n}^{2}}}{Z}\] Kinetic energy \[=\frac{K{{Z}^{2}}{{e}^{2}}}{2{{n}^{2}}}\,\,\,i.e.,\,\,k\propto \,\frac{1}{{{n}^{2}}}\]
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