Calculate the wavelength (in nanometer) associated with a proton moving at `1.0xx10^(3)ms^(-1)`(Mass proton `=1.67xx10^(-27)kg` and `h=6.63xx10^(-34)Js`):-

Options

A. `2.5 nm`
B. `1.4 nm`
C. `0.032 nm`
D. `0.40 nm`

Answer

D

Explanation

Wavelength associated with any moving object is given by de Broglie's relation:
`lambda = (h)/(mv)`
`lambda = ((6.6 xx 10^(-34)Js))/((1.67xx10^(-27)kg)(1.0xx10^(3)ms^(-1)))`
`= 4.0 xx 10^(-10)m`
`= 0.40 xx 10^(-10)m`
`= 0.40 nm`