A particle executes SHM along \( x \)-axis with a frequency \( \left(\frac{25}{\pi}\right) \math...

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A particle executes SHM along \( x \)-axis with a frequency \( \left(\frac{25}{\pi}\right) \mathrm{Hz} \). The mass of the particle is \( 0.20 \mathrm{~kg} \). At the position \( x=0.04 \mathrm{~m} \), the kinetic energy is \( 0.50 \mathrm{~J} \) and the potential energy is \( 0.40 \mathrm{~J} \). The potential energy is zero at mean position. Find the amplitude of oscillations (in \( \mathrm{cm} \) ).
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