Which of the following gives the correct radius of the th orbit of the hydrogen atom…

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Which of the following gives the correct radius

r_n

of the

n

th orbit of the hydrogen atom (

Z=1

) in the Bohr model? (a)

r_n=\dfrac{n^{2} h^{2}}{2\pi^{2} k m e^{2}}

(b)

r_n=\dfrac{n h^{2}}{4\pi^{2} k m e^{2}}

(c)

r_n=\dfrac{n^{2} h^{2}}{4\pi^{2} k m e^{2}}

(d)

r_n=\dfrac{k e^{2} n^{2}}{m h^{2}}