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

Question

The Bohr orbit radius for the hydrogen atom (n=1) is approximately 0.530 mathringA. The radius for the first excited state (n=2) orbit is (in mathringA ) (A) 0.13 (B) 1.06 (C) 4.77 (D) 2.12

Tardigrade Admin · Accepted Answer

Radius of hydrogen atom =0.530 mathringA, Number of excited state (n)=2 and atomic number of hydrogen atom (Z)=1. We know that the Bohr radius. (r)=(n2/Z) ×=((2)2/1) × 0.530 =4 × 0.530=2.12 mathringA

Q. The Bohr orbit radius for the hydrogen atom $(n = 1)$ is approximately $0.530 \overset{˚}{A}$ . The radius for the first excited state $(n = 2)$ orbit is (in $\overset{˚}{A}$ )

0.13

1.06

4.77

2.12

Radius of hydrogen atom $= 0.530 \overset{˚}{A}$ ,
Number of excited state $(n) = 2$ and atomic number of hydrogen atom $(Z) = 1$ .
We know that the Bohr radius.
$(r) = \frac{n ^{2}}{Z} \times = \frac{( 2 ) ^{2}}{1} \times 0.530$
$= 4 \times 0.530 = 2.12 \overset{˚}{A}$

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