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Atoms and Nuclei question

2008 · Shift 0 · Q58

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JEE Main
Physics
Atoms and Nuclei
2008 · Shift 0 · Q58

Atoms and Nuclei question

2008 · Shift 0 · Q58

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1

Suppose an electron is attracted towards the origin by a force

{k \over 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

{n^{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?

A
${T_n} \propto {1 \over {{n^2}}},{r_n} \propto {n^2}$
B
${T_n}$ independent of $n,{r_n} \propto n$
C
${T_n} \propto {1 \over n},{r_n} \propto n$
D
${T_n} \propto {1 \over n},{r_n} \propto {n^2}$

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