The angular velocities of three bodies in simple harmonic motion are ${\mathrm{\omega }}_1,{\mathrm{\omega }}_2,{\mathrm{\omega }}_3$ with their respective amplitudes as ${\mathrm{A}}_1,{\mathrm{A}}_2,{\mathrm{A}}_3$ . If all the three bodies have same mass and velocity, then 

• A

  ${\mathrm{A}}_1{\mathrm{\omega }}_1={\mathrm{A}}_2{\mathrm{\omega }}_2={\mathrm{A}}_3{\mathrm{\omega }}_3$

• B

  ${\mathrm{A}}_1{{\mathrm{\omega }}_1}^2={\mathrm{A}}_2{{\mathrm{\omega }}_2}^2={\mathrm{A}}_3{{\mathrm{\omega }}_3}^2$

• C

  ${{\mathrm{A}}_1}^2{\mathrm{\omega }}_1={{\mathrm{A}}_2}^2{\mathrm{\omega }}_2={{\mathrm{A}}_3}^2{\mathrm{\omega }}_3$

• D

  ${{\mathrm{A}}_1}^2{{\mathrm{\omega }}_1}^2={{\mathrm{A}}_2}^2{{\mathrm{\omega }}_2}^2={\mathrm{A}}^2$