Question

A particle of mass $9.1 \times 10^{-31} kg$ travels in a medium with a speed of $10^{6} m / s$ and a photon of are adiation of linear momentum $10^{-27} kgm / s$ travelsin vacuum. The wavelength of photon is________ times the wavelength of the particle.

Answer 1

For photon $\lambda_{1}=\frac{h}{P}=\frac{6.6 \times 10^{-34}}{10^{-27}}$
For particle $\lambda_{2}=\frac{h}{m v}=\frac{6.6 \times 10^{-34}}{9.1 \times 10^{-31} \times 10^{6}}$
$\therefore \frac{\lambda_{1}}{\lambda_{2}}=910$