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Question: The Bohr orbit radius for the hydrogen atom (n = 1) is approximately 0.530Å. The radius for the firs...

The Bohr orbit radius for the hydrogen atom (n = 1) is approximately 0.530Å. The radius for the first excited state (n = 2) orbit is (in Å)

A

0.13

B

1.06

C

4.77

D

2.12

Answer

2.12

Explanation

Solution

The Bohr radius for hydrogen atom (n = 1) = 0.530Å

The radius of first excited state (n = 2) will be =

0.530×n2Z=0.530×(2)21=2.120A˚0.530 \times \frac{n^{2}}{Z} = 0.530 \times \frac{(2)^{2}}{1} = 2.120Å