Question

Radius of first orbit of hydrogen atom is 0.53



a. the radius of its fourth orbit will be

Answer 1

it will be 8.48 angstrom

Answer 2

Radius of its fourth orbit will be $8.48A^0$

Explanation:

Radius of an atom is given by the Bohrs equation:

$r=\frac{r_o\times n^2}{Z}A^0$

where,

r = radius of atom

n = number of orbit, for first n = 1, for second n = 2 and so on.

Z = Atomic number = 1 (for hydrogen)

Given for n = 1, r= 0.53

$0.53=\frac{r_o\times 1^2}{1}A^0$

$r_0=0.53A^0$

For n = 4

$r_4=\frac{0.53\times 4^2}{1}A^0$

$r_4=8.48A^0$

Thus radius of its fourth orbit will be $8.48A^0$

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