When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude $a$ is
AIPMT 1993, Medium
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(c) $\frac{U}{{{U_{\max }}}} = \frac{{\frac{1}{2}m{\omega ^2}{y^2}}}{{\frac{1}{2}m{\omega ^2}{a^2}}}$
==> $\frac{1}{4} = \frac{{{y^2}}}{{{a^2}}}$
==> $y = \frac{a}{2}$
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