Calculate the velocity and wave length of an `alpha`-particle moving with kinetic energy of `1.602xx10^(-12)J`. (Mass of `alpha`-particle`=6.64xx10^(-24)g`).

Explanation

`(1)/(2)mv^(2)=1.602xx10^(-12)J`
`therefore v=sqrt((2xx1.602xx10^(-12))/(m)=sqrt((2xx1.602xx10^(-12))/(6.62xx10^(-24)xx10^(-3)))`
`=2.19xx10^(7)m*s^(-1)`
`lamda=(h)/(mv)=(6.626xx10^(-34))/((6.64xx10^(-27))xx(2.19xx10^(7)))`
`=4.56xx10^(-15)m`