If $< E >$ and $< U >$ denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
A$< E >=< U >$
B$< E >=2 < U >$
C$< E >=-2 < U >$
D$< E >=- < U >$
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A$< E >=< U >$
a (a) In $SHM$ for a complete cycle average value of kinetic energy and potential energy are equal
i.e. $< E >= < U > = \frac{1}{4}m{\omega ^2}{a^2}$
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