1. Tardigrade
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  4. The displacement y of a particle varies with time t, in second, as y=2 cos (π t+π /6) . The time period of the oscillations is

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Q. The displacement $ y $ of a particle varies with time t, in second, as $ y=2\,\cos (\pi t+\pi /6) $ . The time period of the oscillations is

Rajasthan PMTRajasthan PMT 2011

Solution:

Given, $ y=2\cos (\pi t+\pi /6) $ Time period $ T=\frac{2\pi }{\omega } $ $ \omega =\pi $ it from the given equation $ T=\frac{2\pi }{\pi } $ $ T=2s $