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Question: If the radius of inner most electronic orbit of hydrogen atom is , \(5.3 \times 10^{- 11}\)m then th...

If the radius of inner most electronic orbit of hydrogen atom is , 5.3×10115.3 \times 10^{- 11}m then the radii of n = 2 orbit is

A

1.12 Å

B

2.12 Å

C

3.22 Å

D

4.54 Å

Answer

2.12 Å

Explanation

Solution

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

Here a0=5.3×1011ma_{0} = 5.3 \times 10^{- 11}m

n=2n = 2

r2=(2)2a0\therefore r_{2} = (2)^{2}a_{0}

=4a0=4×5.3×1011m= 4a_{0} = 4 \times 5.3 \times 10^{- 11}m

=21.2×1011m=2.12A˚= 21.2 \times 10^{- 11}m = 2.12Å