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Q.

A particle executes SHM along x-axis with a frequency 25πHz. The mass of the particle is 0.20 kg. At the position x = 0.04 m, the kinetic energy is 0.50 J and the potential energy is 0.40 J. The potential energy is zero at mean position. The amplitude of oscillations (in cm) is __________.

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answer is 6.

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Detailed Solution

K=(2πf)2mEnergy of oscillations = 0.9 J0.90=12KA2A=1.84π2f2m1/2=12πf1.80.21/2=6cm
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A particle executes SHM along x-axis with a frequency 25πHz. The mass of the particle is 0.20 kg. At the position x = 0.04 m, the kinetic energy is 0.50 J and the potential energy is 0.40 J. The potential energy is zero at mean position. The amplitude of oscillations (in cm) is __________.