Question

the bohr's radius for hydrogen atom (n= 1) is approximately 0.530 A.The radius for the first excited state (n= 2) orbit is?

a- 0.13 A

b- 1.06 A

c- 4.77 A

d- 2.12 A

plzzzzzzzzzzzzzzzzzzzzz rply soon to my question

Answer 1

the formula to find any radius is r= 0.53A * n^2 / z
so for second orbit r= 0. 53A *4= 2.12A

Answer 2

Answer:

The correct answer is option d.

Explanation:

Bohr hydrogen radius $a^o= 0.530 \AA$

Generally Bohr radius of nth orbit is given by :

$r_n=\frac{n^2}{Z}\times a^o$

Z = atomic number of an atom

The radius for the first excited state (n= 2) orbit:

$r_2=\frac{4}{1}\times 0.530 \AA=2.12 \AA$

Hence, the correct answer is option d.