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The angular velocities of three bodies in simple harmonic motion are ${w}_{1},{w}_{2},{w}_{3}$ with their respective amplitudes as ${A}_{1},{A}_{2},{A}_{3}$. If all the three bodies have same mass and velocity, then

(a) ${A}_{1}{w}_{1}={A}_{2}{w}_{2}={A}_{3}{A}_{3}$        (b)  ${A}_{1}{{w}_{1}}^{2}={A}_{2}{{w}_{2}}^{2}={A}_{3}{{A}_{3}}^{2}$

(b) ${{A}_{1}}^{2}{w}_{1}={{A}_{2}}^{2}{w}_{2}={{A}_{3}}^{2}{w}_{3}$   (d) ${{A}_{1}}^{2}{{w}_{1}}^{2}={{A}_{2}}^{2}{{w}_{2}}^{2}={A}^{2}$