The potential energy of an electron present i | vedclass

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

Question

(A) The potential energy $(P.E.)$ of an electron in a hydrogen-like species is given by the formula: $P.E. = -\frac{KZe^2}{r}$.For $He^{+}$,the atomic

Vedclass · Accepted Answer

$-\frac{e^2}{2\pi \epsilon_0 r}$

Vedclass · Answer

(A) The potential energy $(P.E.)$ of an electron in a hydrogen-like species is given by the formula: $P.E. = -\frac{KZe^2}{r}$.For $He^{+}$,the atomic number $Z = 2$.Substituting $K = \frac{1}{4\pi \epsilon_0}$ and $Z = 2$ into the formula:$P.E. = -\frac{1}{4\pi \epsilon_0} 	imes \frac{2e^2}{r} = -\frac{2e^2}{4\pi \epsilon_0 r} = -\frac{e^2}{2\pi \epsilon_0 r}$.Therefore,the correct option is $A$.

The potential energy of an electron present in $He^{+}$ is:

Similar Questions

The energy of the electron at infinite distance from the nucleus in Bohr’s model is taken as:

What is the wave number of the lowest energy transition associated with the Lyman series?

The spectrum of helium is similar to which of the following?

$A$ $200 \ W$ bulb emits monochromatic light of wavelength $200 \ nm$. Calculate the number of photons emitted per second by the bulb.

The radius of the first Bohr orbit of a hydrogen atom is $0.53 \times 10^{-8} \ cm$. The velocity of the electron in the first Bohr orbit is

Vedclass Test Series

Exam Paper Generator

Online Exam Module