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JEE Main 20248 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2024 · 8 April · Morning Shift · Physics · Motion in One Dimension

A clock has 75 ~cm, 60 ~cm long second hand and minute hand...

A clock has 75 cm,60 cm75 \mathrm{~cm}, 60 \mathrm{~cm} long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel xx distance more than the tip of minute hand. The value of xx in meter is nearly (Take π=3.14\pi=3.14 ) :

Options

  1. A140.5
  2. B118.9
  3. C139.4
  4. D220.0

Correct answer

C. 139.4

Step-by-step solution

xmin⁡=π×rmin⁡=π×60100m.xsecond =30×2π×rsecond =30×2π×75100x=xsecond −xmin⁡=139.4m\begin{aligned} \mathrm{x}_{\min }= & \pi \times \mathrm{r}_{\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} \\ \mathrm{x}= & \mathrm{x}_{\text{second }}-\mathrm{x}_{\min } \\ = & 139.4 \mathrm{ m}\end{aligned}
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