Suppose an electron is attracted towards the origin by a force k/r, where k is a constant…
Physics · JEE Main · NTA Exams — Atoms and Nuclei
Suppose an electron is attracted towards the origin by a force k/r, where k is a constant and r is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth orbital of the electron is found to be rn and the kinetic energy of the electron to be Tn. Then which of the following is true.
- \(\mathrm{T}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}^{2}}, \mathrm{r}_{\mathrm{n}} \propto \mathrm{n}^{2}\)
- Tn is independent of n, \(\mathrm{r}_{\mathrm{n}} \propto \mathrm{n}\)
- \(\mathrm{T}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}}, \mathrm{r}_{\mathrm{n}} \propto \mathrm{n}\)
- \(\mathrm{T}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}}, \mathrm{r}_{\mathrm{n}} \propto \mathrm{n}^{2}\)
Answer
(B) T n is independent of n, r _ n n
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