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Question

Question: If an electron is revolving in its Bohr orbit having Bohr radius of 0.529 Å, then the radius of thir...

If an electron is revolving in its Bohr orbit having Bohr radius of 0.529 Å, then the radius of third orbit is

A

4234 nm

B

4496 Å

C

4.71 Å

D

5125 nm

Answer

4.71 Å

Explanation

Solution

As rn=n2a0r_{n} = n^{2}a_{0}

Here a0=0.529A˚andn=3a_{0} = 0.529Åandn = 3

rn=3=(3)2a0\therefore r_{n = 3} = (3)^{2}a_{0}

=9×0.529A˚=4.761A˚= 9 \times 0.529Å = 4.761Å