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Question

Chemistry Question on Quantum Mechanical Model of Atom

According to Bohr's principle, the relation between principle quantum number (n)(n) and radius of orbit is :

A

rnr\propto n

B

rn2r\propto {{n}^{2}}

C

r1nr\propto \frac{1}{n}

D

r1n2r\propto \frac{1}{{{n}^{2}}}

Answer

rn2r\propto {{n}^{2}}

Explanation

Solution

Bohr gave following formula to calculate the radius of orbit.
rn=n2h24π2Ke2Z2r_{n}=\frac{n^{2}\, h^{2}}{4 \pi^{2}\,{K} e^{2} \,Z^{2}}
where all things except n2n^{2} are constant
rnn2r_{n} \propto n^{2}