Question

In an electron microscope, electrons are accelerated to great velocities. Calculate the wavelength of an electron traveling with a velocity of 7.0 x 106 ms-1. The mass of an electron is 9.1 x 10-28 g.

Answer 1

Answer:

Wavelength, $\lambda=1.04\times 10^{-13}\ m$

Explanation:

It is given that,

Velocity of an electron, $v=7\times 10^6\ m/s$

Mass of an electron, $m=9.1\times 10^{-28}\ kg$

We need to find the wavelength of an electron. It can be calculated using the De- Broglie wavelength as :

$\lambda=\dfrac{h}{mv}$

$\lambda=\dfrac{6.63\times 10^{-34}}{9.1\times 10^{-28}\times 7\times 10^6}$

$\lambda=1.04\times 10^{-13}\ m$

So, the wavelength of an electron is $1.04\times 10^{-13}\ m$. Hence, this is the required solution.