What is likely to be orbit number f...
Question

# What is likely to be orbit number for a circular orbit of diameter 20 nm of the hydrogen atom : (A) 10 (B) 14 (C) 12 (D) 16

JEE/Engineering Exams
Chemistry
Solution
120
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Bohr radius is given as, ( mathrm{r}_{mathrm{n}}=0.529 mathrm{n}^{2} times 10^{-10} mathrm{m} ) given that, diameter ( =20 mathrm{nm} ) Therefore, radius ( =10 mathrm{nm}=10 times 10^{-9} mathrm{m} ) Using Bohr radius equation: ( n^{2}=frac{10 times 10^{-9}}{0.529 times 10^{-10}}=189.03 ) ( n=13.74 approx 14 )