MATCH THE COLUMN A particle is executing SHM given by \( y=a \sin \omega t \). Match the positio...
MATCH THE COLUMN
A particle is executing SHM given by \( y=a \sin \omega t \). Match the position of displacement of the particle in column-II with situations in column-I.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline A. & \( \begin{array}{l}\text { Potential energy of the } \\
\text { particle is equal to its } \\
\text { kinetic energy at }\end{array} \) & p. & \( \frac{\mathrm{a} \sqrt{3}}{2} \) \\
\hline B. & \( \begin{array}{l}\text { Displacement of the } \\
\text { particle at time } \mathrm{t}=\frac{\mathrm{T}}{4} \text { is }\end{array} \) & q. & \( \frac{\mathrm{a}}{2} \) \\
\hline C. & \( \begin{array}{l}\text { Velocity of the particle } \\
\text { is half of the maximum } \\
\text { velocity at }\end{array} \) & r. & a \\
\hline D. & \( \begin{array}{l}\text { Acceleration of the } \\
\text { particle is half the } \\
\text { maximum acceleration at }\end{array} \) & s. & \( \frac{\mathrm{a}}{\sqrt{2}} \) \\
\hline
\end{tabular}
(1) A-(s); B-(r); C-(p); D-(q)
(2) A-(r); B-(s); C-(p); D-(q)
(3) A-(p); B-(q); C-(r); D-(s)
(4) A-(q); B-(p); C-(s); D-(r)
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