The displacement \( x \) (in metres) of a particle performing simpl...

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The displacement \( x \) (in metres) of a particle performing simple harmonic motion is related to time \( t \) (in seconds) as \( x=0.05 \cos \left(4 \pi t+\frac{\pi}{4}\right) \). The frequency of the motion will
\( \mathrm{P} \) be [MP PMT/PET 1998; Similar Kerala (Engg.) 2002;
UPSEAT 2004; DUMET 2009, 10]
(a) \( 0.5 \mathrm{~Hz} \)
(b) \( 1.0 \mathrm{~Hz} \)
(c) \( 1.5 \mathrm{~Hz} \)
(d) \( 2.0 \mathrm{~Hz} \)
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