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

Wavelength,
`\lambda=3.64* 10^(-10)\ m`

Step-by-step explanation:

We have,

Velocity an electron is
`2* 10^6\ m/s`

Mass of an electron is
`9.1* 10^(-31)\ kg`

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

`\lambda=(h)/(mv)`

h is Planck's constant

`\lambda=(6.63* 10^(-34))/(9.1* 10^(-31)* 2* 10^6)\\\\\lambda=3.64* 10^(-10)\ m`

So, the wavelength of an electron is
`3.64* 10^(-10)\ m`.