Question

What is the ratio of time periods $\left(T_1/T_2\right)$ in the second orbit of hydrogen atom to the third orbit of an $H{e}^{+}$ ion?

• A. 8/27
• B. 32/27
• C. 27/32
• D. None of these

Answer 1

The correct option is B 32/27

Time to complete one revolution in $n^{nt}$ orbit of hydrogen like species which has an atomic number of $Z$:
$T\propto \frac{n^3}{Z^2}$
$\frac{T_H}{T_{He}}=\frac{32}{27}$