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JEE PHYSICS MCQ: ATOMS

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Application +4 | -1
Suppose an electron is attracted towards the origin by a forcekr\frac{k}{r} where ′k′\mathrm{'k'} is a constant and ′r′\mathrm{'r'} is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth{\mathrm{n}^{\mathrm{th}}} orbital of the electron is found to be ′rn′\mathrm{'}{\mathrm{r}_\mathrm{n}}^\prime and the kinetic energy of the electron to be ′Tn′\mathrm{'}{\mathrm{T}_\mathrm{n}}^\prime. Then which of the following is true
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Correct option: A
Tn{\mathrm{T}_\mathrm{n}} independent of n,rn∝n\mathrm{n},{\mathrm{r}_\mathrm{n}} \propto \mathrm{n}
Option A (Tn{\mathrm{T}_\mathrm{n}} independent of n,rn∝n\mathrm{n},{\mathrm{r}_\mathrm{n}} \propto \mathrm{n}) is correct because the kinetic energy is independent of n and the radius is proportional to n under the given force condition.

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