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^-2…

Question

asked Mar 13, 2020 191k views

1 Answer

Apteryx · Answer 1 · 2020-03-18T02:22:27+0000

Answer:

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
$5.591*10^(-15)\ m$