Question

if R is the radius of first orbit,the radius of nth orbit of the H atom will be

Answer 1

Radius of first orbit of H-atom = R = 52.9 pm

Radius of nth orbit of H-atom = 52.9 n² pm = Rn²

Radius of nth orbit of H-atom is Rn²

Answer 2

Answer : The radius of first and the $n^{th}$ orbit of hydrogen atom are, $52.9pm\text{ and }52.9n^2pm$ respectively.

Solution :

Formula used for the radius of the $n^{th}$ orbit will be,

$r_n=\frac{n^2\times 52.9}{Z}$   (in pm)

where,

$r_n$ = radius of $n^{th}$ orbit

n = number of orbit

Z = atomic number

Now we have to calculate the radius of first and the $n^{th}$ orbit of hydrogen atom.

Radius of first orbit of H-atom :

$r_1=\frac{(1)^2\times 52.9}{1}=52.9pm$

Radius of nth orbit of H-atom :

$r_n=\frac{n^2\times 52.9}{1}=52.9n^2pm$