The angular momentum of an electron in a give | vedclass

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

Question

(A) The angular momentum $J$ of an electron of mass $m$ moving in an orbit of radius $r$ with velocity $v$ is given by $J = mvr$.Kinetic energy $(KE)$

Vedclass · Accepted Answer

$\frac{J^2}{2mr^2}$

Vedclass · Answer

(A) The angular momentum $J$ of an electron of mass $m$ moving in an orbit of radius $r$ with velocity $v$ is given by $J = mvr$.Kinetic energy $(KE)$ is given by $KE = \frac{1}{2} mv^2$.We can express $KE$ in terms of $J$ by substituting $v = \frac{J}{mr}$ into the $KE$ formula:$KE = \frac{1}{2} m \left( \frac{J}{mr} \right)^2 = \frac{1}{2} m \left( \frac{J^2}{m^2r^2} \right) = \frac{J^2}{2mr^2}$.Thus,the correct option is $(A)$.

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

Similar Questions

Which of the following activities can be compared to the concept of quantisation?

In which one of the following pairs of experimental observations and phenomena does the experimental observation correctly account for the phenomenon?

Which of the following provisions of the Bohr atomic model of hydrogen turned out to be false?

The wavenumber associated with the maximum energy in the Balmer series will be......

The wavelength of a spectral line emitted by a hydrogen atom in the Lyman series is $\frac{16}{15 R} \ cm$. What is the value of $n_2$? $(R = \text{Rydberg constant})$

Vedclass Test Series

Exam Paper Generator

Online Exam Module