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JEE Main 202229 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Evening Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2022 · 29 June · Evening Shift · Physics · Oscillations

The motion of a simple pendulum executing S.H.M. is represented by...

The motion of a simple pendulum executing S.H.M. is represented by the following equation y=Asin(\pit+ϕ)y = Asin\left(\pit + ϕ\right), where time is measured in second. The length of pendulum is

Options

  1. A97.23cm97 . 23cm
  2. B25.3cm25 . 3cm
  3. C99.4cm99 . 4cm
  4. D406.1cm406 . 1cm

Correct answer

C. 99.4cm99 . 4cm

Step-by-step solution

Comparing the given equation y=Asiny = Asin\left(\pit + ϕ\right)withastandardequationwith a standard equationy = Asin\left(\omegat + ϕ\right).Wehave</p><p>. We have</p><p>\omega = \pi rad{s}^{- 1}</p><p>Sincetimeperiodis</p><p>Since time period isT = \dfrac{2\pi}{\omega} = 2s,itisasecond′spendulum.</p><p>, it is a second's pendulum.</p><p>T = 2\pi\sqrt{\dfrac{L}{g}} ⇒ L = \dfrac{g}{{\pi}^{2}} = 99 . 4cm

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