Calculate the de Broglie wavelength of a proton which is moving with a kinetic energy of `5xx10^(-23)` J.

Explanation

Mass of a proton`=1.67xx10^(-27)kg`
Kinetic energy of a proton`=5xx10^(-23)J`
`therefore (1)/(2)mv^(2)=5xx10^(-23)`
or, `(1)/(2)xx1.67xx10^(-27)xxv^(2)=5xx10^(-23)`
`therefore v=((10xx10^(-23))/(1.67xx10^(-27)))^(1//2)=244.7m*s^(-1)`
`therefore lamda=(h)/(mv)=(6.626xx10^(-34))/(1.67xx10^(-27)xx244.7)=1.62xx10^(-9)m`