Ratio of radii of second and first Bohr orbits of H atom is :

Question

Ratio of radii of second and first Bohr orbits of H atom is : (A) 2: 1 (B) 4: 1 (C) 3: 1 (D) 5: 1

Tardigrade Admin · Accepted Answer

According to Bohr's rule r propto n2 where r = radii of orbit n = number of orbit. ∴ (r1/r2)=(n22/n12)=((2)2/(1)2)=(4/1) ∴ Ratio of second and first orbit of H is 4: 1

Q. Ratio of radii of second and first Bohr orbits of $H$ atom is :

2 : 1

4 : 1

3 : 1

5 : 1

According to Bohr's rule $r \propto n^{2}$
where $r =$ radii of orbit
$n =$ number of orbit.
$∴ \frac{r _{1}}{r _{2}} = \frac{n _{2}^{2}}{n _{1}^{2}} = \frac{( 2 ) ^{2}}{( 1 ) ^{2}} = \frac{4}{1}$
$∴$ Ratio of second and first orbit of $H$ is $4 : 1$

Q. Ratio of radii of second and first Bohr orbits of H atom is :