The energy associated with the electron in th | vedclass

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

Question

(D) The energy of an electron in the $n^{th}$ orbit is given by $E_n = \frac{E_1}{n^2}$, where $E_1 = -2.18 	imes 10^{-18} \ J$.For the fifth orbit $

Vedclass · Accepted Answer

$3.17 	imes 10^{15}$

Vedclass · Answer

(D) The energy of an electron in the $n^{th}$ orbit is given by $E_n = \frac{E_1}{n^2}$, where $E_1 = -2.18 	imes 10^{-18} \ J$.For the fifth orbit $(n = 5)$, $E_5 = \frac{-2.18 	imes 10^{-18}}{5^2} = \frac{-2.18 	imes 10^{-18}}{25} = -0.0872 	imes 10^{-18} \ J$.The energy difference required for excitation is $\Delta E = E_5 - E_1 = (-0.0872 	imes 10^{-18}) - (-2.18 	imes 10^{-18}) = 2.0928 	imes 10^{-18} \ J$.Using the relation $\Delta E = h 
u$, the frequency $
u$ is $
u = \frac{\Delta E}{h} = \frac{2.0928 	imes 10^{-18}}{6.6 	imes 10^{-34}} \approx 3.17 	imes 10^{15} \ Hz$.

The energy associated with the electron in the first orbit of a hydrogen atom is $-2.18 \times 10^{-18} \ J$. The frequency of the light required (in $Hz$) to excite the electron to the fifth orbit is $(h = 6.6 \times 10^{-34} \ Js)$

Similar Questions

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

The angular momentum of an electron in a given orbit is $J$. Its kinetic energy will be:

The ratio of the shortest wavelength of two spectral series of the hydrogen spectrum is found to be about $9$. The spectral series are

How many emission spectral lines are possible when a hydrogen atom is excited to the $n$th energy level?

The $I.P.$ of a hydrogen-like species is $36 \ eV$. What is the value of the second excitation energy in $eV$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module