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JEE Mains · Physics · STD 11 - 3.2 motion in plane

A clock has \(75 \mathrm{~cm}, 60 \mathrm{~cm}\) long second hand and minute hand respectively. In \(30\) minutes duration the tip of second hand will travel \(x\) distance more than the tip of minute hand. The value of \(x\) in meter is nearly _______. (Take \(\pi=3.14\) )

  1. A \(220.0\)
  2. B \(140.5\)
  3. C \(139.4\)
  4. D \(118.9\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(139.4\)

Step-by-step Solution

Detailed explanation

\(\mathrm{x}_{\text {min }}=\pi \times \mathrm{r}_{\text {min }}\) \(=\pi \times \frac{60}{100} \mathrm{~m}.\) \(\mathrm{x}_{\text {second }}=30 \times 2 \pi \times \mathrm{r}_{\text {second }}\) \(=30 \times 2 \pi \times \frac{75}{100}\)…
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