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Suppose an electron is attracted towards the
\( \mathrm{P} \)
origin by a force \( \frac{k}{r} \) where ' \( \mathrm{k} \) ' is a constant and
W
' \( r \) ' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the \( \mathrm{n}^{\text {th }} \) 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) \( \mathrm{T}_{\mathrm{n}} \) independent of \( \mathrm{n}, r_{n} \propto n \)
(2) \( T_{n} \propto \frac{1}{n}, r_{n} \propto n \)
(3) \( T_{n} \propto \frac{1}{n}, r_{n} \propto n^{2} \)
(4) \( T_{n} \propto \frac{1}{n^{2}}, r_{n} \propto n^{2} \)


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