The ratio of the speed of the electrons in th | vedclass

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

Question

(C) The speed of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by $v = \frac{e^2}{2 \varepsilon_0 nh}$.For the ground state,$n

Vedclass · Accepted Answer

$1 / 137$

Vedclass · Answer

(C) The speed of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by $v = \frac{e^2}{2 \varepsilon_0 nh}$.For the ground state,$n = 1$,so the speed is $v = \frac{e^2}{2 \varepsilon_0 h}$.The ratio of the speed of the electron to the speed of light $c$ is given by $\frac{v}{c} = \frac{e^2}{2 \varepsilon_0 ch}$.Substituting the values of the physical constants:$e = 1.6 	imes 10^{-19} 	ext{ C}$,$\varepsilon_0 = 8.85 	imes 10^{-12} 	ext{ F/m}$,$c = 3 	imes 10^8 	ext{ m/s}$,and $h = 6.63 	imes 10^{-34} 	ext{ J} \cdot 	ext{s}$.$\frac{v}{c} = \frac{(1.6 	imes 10^{-19})^2}{2 	imes 8.85 	imes 10^{-12} 	imes 3 	imes 10^8 	imes 6.63 	imes 10^{-34}} \approx \frac{1}{137}$.

The ratio of the speed of the electrons in the ground state of hydrogen to the speed of light in vacuum is

Similar Questions

The angle of elevation of an object from a point $P$ on the level ground is $\alpha$. Moving $d$ metres on the ground towards the object,the angle of elevation is found to be $\beta$. Then the height (in metres) of the object is

As we go from species to kingdom in a taxonomic hierarchy,the number of common characteristics

The absolute configurations of the two chiral centers in the following molecule are:

Which of the following is not correct?

Which of the following complex ions is not expected to absorb visible light?

Vedclass Test Series

Exam Paper Generator

Online Exam Module