Q150 / 150 · MHT CET 2020 (15 Oct Shift 1) · Physics

A torque of $50 \mathrm{Nm}$ acts on a body for 8 second which is initially at rest. The change in its angular momentum is

  • Correct answer
    A
    $400 \mathrm{kgm}^{2} / \mathrm{s}$
  • B
    $600 \mathrm{kgm}^{2} / \mathrm{s}$
  • C
    $1000 \mathrm{kgm}^{2} / \mathrm{s}$
  • D
    $800 \mathrm{kgm}^{2} / \mathrm{s}$

Solution

$\tau=50 \mathrm{Nm}$ for 8 second initially at rest $\vec{L}=\vec{\tau} \cdot t \quad$ for constant $\vec{L}$ $\vec{\tau}$ $|\vec{L}|=400 \mathrm{~kg} \mathrm{M}^{2} / \mathrm{S}.$

Hence, the correct answer is option: 'A'.

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