Answer:
The wavelength is [tex]5.591\times10^{-15}\ m[/tex]
Explanation:
Given that,
Speed [tex]v= 7.1\times10^{7}\ m/s[/tex]
Mass of proton [tex]m= 1.67\times10^{-27}\ kg[/tex]
We need to calculate the wavelength
Using formula of de Broglie wavelength
[tex]p=\dfrac{h}{\lambda}[/tex]
[tex]\lambda=\dfrac{h}{p}[/tex]
[tex]\lambda=\dfrac{h}{mv}[/tex]
Put the value into the formula
[tex]\lambda=\dfrac{6.63\times10^{-34}}{1.67\times10^{-27}\times7.1\times10^{7}}[/tex]
[tex]\lambda=5.591\times10^{-15}\ m[/tex]
Hence, The wavelength is [tex]5.591\times10^{-15}\ m[/tex]
