What is the ratio of time periods (T_1 / T_2) | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The time period $(T)$ of an electron in the $n^{th}$ orbit is given by the formula $T \propto \frac{n^3}{Z^2}$.Therefore,the ratio of time periods

Vedclass · Accepted Answer

$32/27$

Vedclass · Answer

(B) The time period $(T)$ of an electron in the $n^{th}$ orbit is given by the formula $T \propto \frac{n^3}{Z^2}$.Therefore,the ratio of time periods for two different species is given by $\frac{T_1}{T_2} = \frac{n_1^3}{Z_1^2} 	imes \frac{Z_2^2}{n_2^3}$.For the second orbit of hydrogen atom $(n_1 = 2, Z_1 = 1)$ and the third orbit of $He^{+}$ ion $(n_2 = 3, Z_2 = 2)$:$\frac{T_1}{T_2} = \frac{2^3}{1^2} 	imes \frac{2^2}{3^3} = \frac{8}{1} 	imes \frac{4}{27} = \frac{32}{27}$.Thus,the ratio is $32/27$.

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

Similar Questions

When $\alpha$-particles are sent through a thin metal foil,most of them go straight through the foil because (one or more are correct)

Explain Bohr's atomic model.

In $He^{+}$ ion,the energy of $2^{nd}$ orbit is $-13.6 \ eV/atom$. The kinetic energy of the same orbit for $He^{+}$ ion will be:

The wave number of the first line of the Balmer series of $H$ atom is $15200 \ cm^{-1}$. What is the wave number of the first line of the Lyman series of $Li^{2+}$? (in $cm^{-1}$)

If in Bohr's model,for a unielectronic atom,the time period of revolution is represented as $T_{n,Z}$ where $n$ represents the shell number and $Z$ represents the atomic number,then the value of $T_{1,2} : T_{2,1}$ will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module