A) \[{{T}_{n}}\propto \frac{1}{{{n}^{2}}},\,{{r}_{n}}\propto {{n}^{2}}\]
B) \[{{T}_{n}}\] independent of n, \[{{r}_{n}}\propto n\]
C) \[{{T}_{n}}\propto \frac{1}{n},\,{{r}_{n}}\propto n\]
D) \[{{T}_{n}}\propto \frac{1}{n},\,{{r}_{n}}\propto {{n}^{2}}\]
Correct Answer: B
Solution :
When \[F=\frac{k}{r}=\]centripetal force, then \[\frac{k}{r}=\frac{m{{v}^{2}}}{r}\] \[\Rightarrow \,\,\,m{{v}^{2}}=\] constat \[\Rightarrow \] kinetic energy is constant \[\Rightarrow \] Tis independent of n.You need to login to perform this action.
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