The kinetic energy of an electron is $4.55 \times 10^{-25} \ J$ and its mass is $9.1 \times 10^{-31} \ kg$. Calculate the velocity,momentum,and wavelength of the electron.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
Given: $KE = 4.55 \times 10^{-25} \ J$,$m = 9.1 \times 10^{-31} \ kg$.
$1$. Velocity $(v)$:
$KE = \frac{1}{2} mv^2$
$4.55 \times 10^{-25} = \frac{1}{2} \times 9.1 \times 10^{-31} \times v^2$
$v^2 = \frac{2 \times 4.55 \times 10^{-25}}{9.1 \times 10^{-31}} = 10^6$
$v = 10^3 \ m \ s^{-1}$.
$2$. Momentum $(p)$:
$p = mv = 9.1 \times 10^{-31} \ kg \times 10^3 \ m \ s^{-1} = 9.1 \times 10^{-28} \ kg \ m \ s^{-1}$.
$3$. Wavelength $(\lambda)$:
Using de Broglie equation,$\lambda = \frac{h}{p}$
$\lambda = \frac{6.626 \times 10^{-34} \ J \ s}{9.1 \times 10^{-28} \ kg \ m \ s^{-1}} \approx 7.28 \times 10^{-7} \ m$.

Explore More

Similar Questions

In the ground state of a hydrogen atom,an electron absorbs $1.5$ times the minimum energy $\left(2.18 \times 10^{-18} \ J\right)$ required to escape from the atom. The wavelength of the emitted electron (in $m$) is $\left(m_e = 9 \times 10^{-31} \ kg\right)$.

Which one of the following explains light both as a stream of particles and as wave motion?

If two particles $A$ and $B$ are moving with the same velocity,but the wavelength of $A$ is found to be double that of $B$. Which of the following statements is correct?

The wavelengths of electron waves in two orbits are in the ratio $3: 5$. The ratio of the kinetic energy of the electrons will be:

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of the neutron. The value of $x$ is (Nearest Integer). (Mass of electron is $9.1 \times 10^{-31} \ kg$ and mass of neutron is $1.6 \times 10^{-27} \ kg$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo