Evaluate the following ratios for the energy | vedclass

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

Question

(A) For an electron in a hydrogen-like atom,the energies are given by:$K.E. = \frac{Ze^{2}}{8 \pi \varepsilon_{0} r}$$P.E. = \frac{-Ze^{2}}{4 \pi \var

Vedclass · Accepted Answer

$[1 : -2]$ and $[-1 : 1]$

Vedclass · Answer

(A) For an electron in a hydrogen-like atom,the energies are given by:$K.E. = \frac{Ze^{2}}{8 \pi \varepsilon_{0} r}$$P.E. = \frac{-Ze^{2}}{4 \pi \varepsilon_{0} r}$$T.E. = K.E. + P.E. = \frac{-Ze^{2}}{8 \pi \varepsilon_{0} r}$Ratio $1$: $[K.E. : P.E.] = \frac{Ze^{2}}{8 \pi \varepsilon_{0} r} : \frac{-Ze^{2}}{4 \pi \varepsilon_{0} r} = 1 : -2$Ratio $2$: $[T.E. : K.E.] = \frac{-Ze^{2}}{8 \pi \varepsilon_{0} r} : \frac{Ze^{2}}{8 \pi \varepsilon_{0} r} = -1 : 1$

Evaluate the following ratios for the energy of the electron in a particular orbit:
[Kinetic $:$ Potential] and [Total $:$ Kinetic]

Similar Questions

Ionisation energy of $He^{+}$ is $19.6 \times 10^{-18} \, J \, atom^{-1}$. The energy of the first stationary state $(n = 1)$ of $Li^{2+}$ is

What is the frequency of the radiation emitted when an electron in a hydrogen atom undergoes a transition from $n = 3$ to the ground state?

Write the postulates of Bohr's model of the hydrogen atom.

Normally,the time taken in an electronic transition is approximately:

Total number of spectral lines when an electron jumps from the $8^{th}$ orbit to the $2^{nd}$ orbit is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Evaluate the following ratios for the energy of the electron in a particular orbit:[Kinetic $:$ Potential] and [Total $:$ Kinetic]