Question

Earth (mass = 6.00 × 1027 g) moving through space at 3.20 × 104 m/s. Answer in nm.

Answer 1

As momentum $(p)$ $=\frac{h(Js)}{wavelength(m)}$

wavelength$=\frac{h}{p}$ $=\frac{h}{mv}$ $=\frac{6.626\times10^{-34}}{6\times10^{24}Kg\times3.20\times10^4}=0.345\times10^{-62}m$

Hence, wavelength in $nm=0.345\times10^{-62}\times10^9=0.345\times10^{-53}nm$