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.

Respuesta :

Answer:

Wavelength, [tex]\lambda=1.04\times 10^{-13}\ m[/tex]

Explanation:

It is given that,

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

Mass of an electron, [tex]m=9.1\times 10^{-28}\ kg[/tex]

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

[tex]\lambda=\dfrac{h}{mv}[/tex]

[tex]\lambda=\dfrac{6.63\times 10^{-34}}{9.1\times 10^{-28}\times 7\times 10^6}[/tex]

[tex]\lambda=1.04\times 10^{-13}\ m[/tex]

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