If the electron of a hydrogen atom is present | vedclass

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

Question

(C) The kinetic energy $(KE)$ of an electron in an orbit is given by $KE = \frac{1}{2}mv^2$. From the electrostatic force balance,the centripetal forc

Vedclass · Accepted Answer

$\frac{-e^2}{2r}$

Vedclass · Answer

(C) The kinetic energy $(KE)$ of an electron in an orbit is given by $KE = \frac{1}{2}mv^2$. From the electrostatic force balance,the centripetal force is provided by the Coulombic attraction: $\frac{mv^2}{r} = \frac{e^2}{r^2}$,which implies $mv^2 = \frac{e^2}{r}$. Substituting this into the $KE$ expression: $KE = \frac{1}{2} 	imes \frac{e^2}{r} = \frac{e^2}{2r}$. The potential energy $(PE)$ of the electron is given by $PE = \frac{-e^2}{r}$. The total energy $(E)$ is the sum of kinetic and potential energy: $E = KE + PE = \frac{e^2}{2r} - \frac{e^2}{r} = \frac{-e^2}{2r}$.

If the electron of a hydrogen atom is present in the first orbit,the total energy of the electron is

Similar Questions

Product $A$ is

Which type of drug is obtained from opium?

When is the immune response most intense?

Which one of the following conditions is incorrect for a well-behaved wave function $(\psi)$?

$A$ transverse harmonic wave on a string is described by $y = 3 \sin(36t + 0.018x + \frac{\pi}{4})$,where $x$ and $y$ are in $cm$ and $t$ is in $s$. The least distance between two successive crests in the wave is .... $m$. (in $.5$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module