(a) What does the quadrupole formula(P) = = = (Qij Q³ ³)compute? Reason the answer.(b) A point mass m undergoes a harmonic motion along the z-axis with frequency wand amplitude L,x(t) = y(t) = 0, z(t) = L cos(wt).Show that the only non-vanishing component of the quadrupole moment tensor is=Im L² cos² (wt).(c) Use the quadrupole formula to compute the power radiated by the emission ofgravitational waves. (Hint: recall that (cos(t)) = (sin(t)) = 0 and(cos² (t)) = (sin² (t)) = ½½ for a given frequency 2.)

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