A) directly proportional to radius of orbit
B) inversely proportional to the radius of orbit
C) directly proportional to the square of the orbit radius
D) directly proportional to the square root of the radius of the orbit
Correct Answer: D
Solution :
From Bohrs theory of hydrogen atom electrons can revolve only in those orbits in which their angular momentum is an integral multiple of\[\frac{h}{2\pi }\] \[L=n\frac{h}{2\pi }\] ...(i) Also, radius of nth orbit of atom is \[{{r}_{n}}={{n}^{2}}{{a}_{0}}\] ...(ii) where\[{{a}_{0}}\]is Bohrs radius. From Eqs. (i) and (ii), we get \[L\propto \sqrt{{{r}_{n}}}\]
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