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BITSAT 2018
Exam
BITSAT
Year
2018
Subject
Physics
Chapter
Rotational Motion

BITSAT 2018 · Physics · Rotational Motion

If the time period is doubled, then the angular momentum of the...

If the time period is doubled, then the angular momentum of the body will (provided the moment of inertia of the body is constant)

Options

  1. Aremain constant
  2. Bquadruple
  3. Cbecome half
  4. Ddouble

Correct answer

C. become half

Step-by-step solution

As we know.

L=IωL = I\omega

⇒L=I×2πT⇒ L = I \times \dfrac{2\pi}{T}

L∝1TL ∝ \dfrac{1}{T}

Given, T2=2T{T}_{2} = 2T

Hence L1L2=2TT\dfrac{L1}{L2} = \dfrac{2T}{T}

⇒L2=L12⇒ {L}_{2} = \dfrac{L1}{2}

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