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Physics · PYQ NEET UG 2019(1)

हिन्दी

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure. y-projection of the radius vector of rotating particle P is:

Question diagram
  1. A
    \( y(t) = 3\cos(\frac{3\pi t}{2}) \), where y in m
  2. B
    \( y(t) = 3\cos(\frac{\pi t}{2}) \), where y in m
  3. C
    \( y(t) = -3\cos 2\pi t \), where y in m
  4. D
    \( y(t) = 4\sin(\frac{\pi t}{2}) \), where y in m
View Answer & Solution

Correct answer · Option B

\( y(t) = 3\cos(\frac{\pi t}{2}) \), where y in m

Explanation

Radius \( R = 3\text{ m} \), period \( T = 4\text{ s} \), so angular velocity \( \omega = \frac{2\pi}{T} = \frac{\pi}{2}\text{ rad/s} \). At \( t=0 \), particle starts at positive y-axis, so \( y(t) = R\cos(\omega t) = 3\cos(\frac{\pi t}{2}) \).
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