The velocity of a particle $A$ is $3$ times the velocity of a proton. If the ratio of the de Broglie wavelengths of the particle $A$ and the proton is $3:2$,the mass of the particle $A$ is (where $m_{p}$ is the mass of the proton).

• A
  $\frac{2}{9} m_{p}$
• B
  $\frac{2}{3} m_{p}$
• C
  $\frac{2}{5} m_{p}$
• D
  $\frac{2}{7} m_{p}$