Atoms - Result Question 37

39. When hydrogen atom is in its first excited level, its radius is

[1997]

(a) four times its ground state radius

(b) twice

(c) same

(d) half

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Answer:

Correct Answer: 39. (a)

Solution:

  1. (a) $R=\frac{R_0 n^{2}}{Z}$

Radius in ground state $=\frac{R_0}{Z}$

Radius in first excited state $=\frac{R_0 \times 4}{Z}(\because n=2)$ Hence, radius of first excited state is four times the radius in ground state.