Question

If the electron has a speed equal to 9.10 x 10^6 m/s, what is its wavelength?

Answer 1

`\lambda=8.006* 10^(-11)\ m`

Step-by-step explanation:

Given that,

The speed of an electron,
`v=9.1* 10^6\ m/s`

We need to find the wavelength of this electron. It can be calculated using De -broglie wavelength concept as :

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

h is the Planck's constant

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

`\lambda=8.006* 10^(-11)\ m`

So, the wavelength of the electron is
`8.006* 10^(-11)\ m`. Hence, this is the required solution.