Question

Calculate the wavelength of an electron mass 9.1*10^-31kg moving with a velocity of 2.0*10^6m/s (h=6.63*10^-34Js) (Hint: De Broglie's wavelength)

Answer 1

Answer:

Wavelength, $\lambda=3.64\times 10^{-10}\ m$

Explanation:

We have,

Velocity an electron is $2\times 10^6\ m/s$

Mass of an electron is $9.1\times 10^{-31}\ kg$

It is required to find the wavelength of electron. The De-Broglie wavelength of an electron is given by :

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

h is Planck's constant

$\lambda=\dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 2\times 10^6}\\\\\lambda=3.64\times 10^{-10}\ m$

So, the wavelength of an electron is $3.64\times 10^{-10}\ m$.