Given, mass of particle, m = 1kg Spring constant, k=100Nm−1 Let time period is T. Kinetic energy (KE) = Potential energy (PE) = E Amplitude = A Angular velocity = ω Wave displacement = x KE in SHM = PE in SHM ⇒
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mω2(A2−x2)=
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kx2 ⇒mω2(A2−x2)=kx2 ...(i) Since, force, F=mω2x=kx ⇒k=mω2 Substituting the value in Eq. (i), we get ⇒mω2(A2−x2)=mω2x2 ⇒A2−x2=x2 ⇒A2=2x2 ⇒x=