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Question

Question: According to Bohr's theory the radius of electron in an orbit described by principal quantum number ...

According to Bohr's theory the radius of electron in an orbit described by principal quantum number n and atomic number Z is proportional to.

A

Z2n2Z^{2}n^{2}

B

Z2n2\frac{Z^{2}}{n^{2}}

C

Z2n\frac{Z^{2}}{n}

D

n2Z\frac{n^{2}}{Z}

Answer

n2Z\frac{n^{2}}{Z}

Explanation

Solution

r=ε0n2h2πZme2;6mu6murn2Zr = \frac{\varepsilon_{0}n^{2}h^{2}}{\pi Zme^{2}};\mspace{6mu}\mspace{6mu}\therefore r \propto \frac{n^{2}}{Z}