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The radius of inner most orbit of hydrogen atom is $5.3\times10^{-11}\ m$. What is the radius of third allowed orbit of hydrogen atom?
A
4.77 Å
B
0.53 Å
C
1.06 Å
D
1.59 Å
Explanation
$r_n=a_0n^2$, so $r_3=9a_0=4.77$ Å.
Detailed Solution
$r_n=a_0n^2$
$r_1=a_0=5.3\times10^{-11}\ m$
$r_3=a_0(3)^2=5.3\times10^{-11}\times9=4.77$ Å