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JEE Main 202126 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Evening Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2021 · 26 August · Evening Shift · Physics · Motion in Two Dimensions

A particle of mass m is suspended from a ceiling through a string...

A particle of mass mm is suspended from a ceiling through a string of length LL. The particle moves in a horizontal circle of radius rr such that r=L2r = \dfrac{L}{\sqrt{2}}. The speed of particle will be :A particle of mass m is suspended from a ceiling through a string of length L . The particle moves in a horizontal

Options

  1. Arg\sqrt{rg}
  2. B2rg\sqrt{2rg}
  3. Crg2\sqrt{\dfrac{rg}{2}}
  4. D2rg2\sqrt{rg}

Correct answer

A. rg\sqrt{rg}

Step-by-step solution

A particle of mass m is suspended from a ceiling through a string of length L . The particle moves in a horizontal

sinθ=12sin\theta = \dfrac{1}{\sqrt{2}}

θ=45°\theta = 45 °

tanθ=mv2rmg=v2rg=1tan\theta = \dfrac{\dfrac{m{v}^{2}}{r}}{mg} = \dfrac{{v}^{2}}{rg} = 1

v2=rg{v}^{2} = rg

v=rgv = \sqrt{rg}

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