Question

If a proton were traveling the same speed as electrons in a TV picture tube (about 7.1 x 10^7 m/s), what would its de Broglie wavelength be? The mass of a proton is 1.67 x 10^-27 kg. Answer must be in m.

Answer 1

The wavelength is
`5.591*10^(-15)\ m`

Step-by-step explanation:

Given that,

Speed
`v= 7.1*10^(7)\ m/s`

Mass of proton
`m= 1.67*10^(-27)\ kg`

We need to calculate the wavelength

Using formula of de Broglie wavelength

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

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

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

Put the value into the formula

`\lambda=(6.63*10^(-34))/(1.67*10^(-27)*7.1*10^(7))`

`\lambda=5.591*10^(-15)\ m`

Hence, The wavelength is
`5.591*10^(-15)\ m`