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

The de-Broglie wavelength of a tennis ball of mass $60 \, g$ moving with a velocity of $10 \, m/s$ is approximately

How fast is an electron moving if it has a wavelength equal to the distance it travels in one second?

Calculate the velocity of an electron having a de Broglie wavelength of $58 \ nm$ and mass $9.1 \times 10^{-31} \ kg$. Given: $h = 6.63 \times 10^{-34} \ Js$.

An electron moves in an electric field with a kinetic energy of $2.5 \, eV$. The de Broglie wavelength associated with it is .....

Difficult
View Solution

What is the wavelength of an electron? What does it indicate?

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