Calculate the wavelength ( in nanometer ) associated with a proton moving at ` 1.0xx 10^3` m/s (Mass of proton ` =1.67 xx 10^(-27) kg ` and ` h=6.63 xx 10^(-34) is)` :

Options

A. 0.032 nm
B. 0.40 nm
C. 2.5 nm
D. 14.0 nm

Answer

B

Explanation

`lambda = h/(mv) = (6.63 xx 10^(-34))/(1.67 xx 10^(-27) xx 1 xx 10^3)`
`= 3.9 xx 10^(-10) m`
`= 4 xx 10^(-10) m = 0.40 nm`.