MCQ
Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \mathring A$. The radius of the third Bohr orbit of $He ^{+}$is $..................$ picometer. (Nearest Integer)
- A$170$
- B$180$
- ✓$270$
- D$250$
✓
Answer
Correct option: C.
$270$
c
$r \propto \frac{ n ^2}{ Z }$
$r \propto \frac{ n ^2}{ Z }$
$r _{ He ^{+}} = r _{ H } \times \frac{ n ^2}{ Z }$
$r _{ He ^{+}} =0.6 \times \frac{(3)^2}{2}$
$=2.7 \mathring A$
$r _{ He ^{+}} =270\,pm$
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