Suppose an electron is attracted towards the origin by a force \( \frac{k}{r} \), where \( k \) .... VIDEO
Suppose an electron is attracted towards the origin by a force \( \frac{k}{r} \), where \( k \) is constant and \( r \) is the
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distance of the electron from the origin. By applying Bohr model to this system, the radius of \( \mathrm{n}^{\text {th }} \) orbital of the electron is found to be \( r_{n} \) and the kinetic energy of the electron to be \( T_{n} \). Then which of the following is true?
(1) \( T_{n} \propto \frac{1}{n^{2}}, r_{n} \propto n^{2} \)
(2) \( \mathrm{T}_{\mathrm{n}} \) independent of \( n, r_{n} \propto n \)
(3) \( T_{n} \propto \frac{1}{n}, r_{n} \propto n \)
(4) \( T_{n} \propto \frac{1}{n}, r_{n} \propto n^{2} \)
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