An object of mass `0.2 kg` executes simple harmonic oscillation along the `x - axis`with a frequency of `(25//pi) Hz`. At the position `x = 0.04`, the object has Kinetic energy of `0.5 J` and potential energy `0.4 J. The amplitude of oscillations is……m.A. `0.05m`B. `0.06m`C. `0.01m`D. none of these

An object of mass `0.2 kg` executes simple harmonic oscillation along

1.	An object of mass `0.2 kg` executes simple harmonic oscillation along the `x - axis`with a frequency of `(25//pi) Hz`. At the position `x = 0.04`, the object has Kinetic energy of `0.5 J` and potential energy `0.4 J. The amplitude of oscillations is……m.A. `0.05m`B. `0.06m`C. `0.01m`D. none of these
Answer» Correct Answer - B `E=(1)/(2)momega^2A^2=(1)/(2)m(2pif)^2A^2` `A=(1)/(2piF)sqrt((2E)/(m))` Putting `E=K+U`, we get `A=(1)/(2pi((25)/(pi)))sqrt((2xx(0.5+0.4))/(0.2))=0.06m)`

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