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NEET 2006
Exam
NEET
Year
2006
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2006 · Physics · Motion in Two Dimensions

A car runs at a constant speed on a circular track of radius 100 ~m...

A car runs at a constant speed on a circular track of radius 100 m100 \mathrm{~m}, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is:

Options

  1. A10 m/s,010 \mathrm{~m} / \mathrm{s}, 0
  2. B0,0
  3. C0,10 m/s0,10 \mathrm{~m} / \mathrm{s}
  4. D10 m/s,10 m/s10 \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}

Correct answer

D. 10 m/s,10 m/s10 \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}

Step-by-step solution

Distance trevelled in one revolution =2πr∴ Average speed = Totaldistance  Total time ⇒2πrt=2×3.14×10062.8=10m/s\begin{aligned} & =2 \pi r \\ & \therefore \text{ Average speed }=\frac{\text{ Totaldistance }}{\text{ Total time }} \\ & \Rightarrow \quad \frac{2 \pi r}{t}=\frac{2 \times 3.14 \times 100}{62.8} \\ & =10 \mathrm{ m} / \mathrm{s} \end{aligned} Displacement in one revolution is zero. ∴ Average Velocity = Net displacement  True =0t=0\begin{aligned} \therefore \text{ Average Velocity }= & \frac{\text{ Net displacement }}{\text{ True }} \\ & =\frac{0}{t}=0 \end{aligned}
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