Question

calculate radius of third orbit of hydrogen atom; the radius of first bohr orbit of hydrogen atom is0.53Å

Answer 1

hey friend here is your answer...

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the formulae of any radius of an orbit is = 0.529×n^2/z .

so the radius of the third orbit of hydrogen is = 0.529×3^2/1=4.761 Å. ......where n= no of orbit and z= atomic number.

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hope it helps you☺️☺️
Mark as brainliest❤️❤️

Answer 2

Given :

Radius of first Bohr orbit of hydrogen atom = 0.53Å = 0.53 × $10^{-10}$ m

To Find :

Radius of third orbit of hydrogen atom

Solution :

The relation between the radius of 'n'th orbit of hydrogen atom (R$_n$) and the radius of first orbit of Hydrogen atom (R) is given as -

          R$_{n}$ = n² × R

As per question, R = 0.53 × $10^{-10}$ m and n = 3

Radius of third orbit of Hydrogen atom (R$_3$) = 3² × 0.53 × $10^{-10}$

                                                                          = 9 ×  0.53 × $10^{-10}$

                                                                          = 4.77 × $10^{-10}$ m

                                                                          = 4.77 Å

∴ Radius of third orbit of Hydrogen atom (R$_3$) is 4.77 Å.