Question

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

• A. $\frac{8}{27}$
• B. $\frac{32}{27}$
• C. $\frac{27}{32}$
• D. $\frac{27}{8}$

Answer 1

The correct option is B $\frac{32}{27}$

we know that

time period$\propto \frac{n^3}{t^2}$

n=energy level

t=z=valan enly

$\frac{T_H}{T_{He}}=\frac{n_1^3{t}_2^2}{n_2^3{t}_1^2}$

=$\frac{\left(8\right)\times \left(4\right)}{\left(27\right)\times \left(1\right)}$

ratio=$\frac{32}{17}$