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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2023 · 31 January · Evening Shift · Physics · Motion in Two Dimensions

A stone of mass 1kg is tied to end of a massless string of length...

A stone of mass 1kg1kg is tied to end of a massless string of length 1m1m. If the breaking tension of the string is 400N400N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:

Options

  1. A20ms−120m{s}^{- 1}
  2. B40ms−140m{s}^{- 1}
  3. C400ms−1400m{s}^{- 1}
  4. D10ms−110m{s}^{- 1}

Correct answer

A. 20ms−120m{s}^{- 1}

Step-by-step solution

In horizontal circle, tension towards the centre of the circular path at any moment will provide the required centripetal force.

Therefore,

{T}_\max = \dfrac{m{v}^{2}}{r} ⇒ 400 = \dfrac{1 \times {v}^{2}}{1} ⇒ v = 20m{s}^{- 1}

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