What is the ratio of the equivalent electric | vedclass

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

Question

(A) The equivalent current $I$ produced by an electron revolving in an orbit is given by $I = \frac{e}{T}$,where $T$ is the time period.Since $T = \fr

Vedclass · Accepted Answer

$8 : 1$

Vedclass · Answer

(A) The equivalent current $I$ produced by an electron revolving in an orbit is given by $I = \frac{e}{T}$,where $T$ is the time period.Since $T = \frac{2\pi r}{v}$ and $r \propto n^2$,$v \propto \frac{1}{n}$,we have $T \propto \frac{n^2}{1/n} = n^3$.Therefore,$I \propto \frac{1}{n^3}$.For the first and second orbits $(n_1 = 1, n_2 = 2)$:$\frac{I_1}{I_2} = \left( \frac{n_2}{n_1} \right)^3 = \left( \frac{2}{1} \right)^3 = 8$.Thus,the ratio is $8 : 1$.

What is the ratio of the equivalent electric currents produced by the motion of an electron in the first and second orbits of a hydrogen atom?

Similar Questions

The energy required to remove one electron from a neutral helium atom is $24.6 \, eV$. The energy required to remove the remaining second electron (in $eV$) is .........

If $\lambda_1$ and $\lambda_2$ denote the wavelengths of de Broglie waves for electrons in the first and second Bohr orbits in a hydrogen atom,then $\lambda_1/\lambda_2$ is equal to

The wavelengths involved in the spectrum of deuterium $(_1^2D)$ are slightly different from that of hydrogen spectrum,because

The radius of the third stationary orbit of an electron for a Bohr atom is $R$. The radius of the fourth stationary orbit will be

What is ground state?

Vedclass Test Series

Exam Paper Generator

Online Exam Module