Q122 / 150 · MHT CET 2021 (23 Sep Shift 2) · Physics

Figure shows triangular lamina which can rotate about different axes. Moment of inertia is maximum, about the axis Figure

  • A
    PR
  • B
    QS
  • Correct answer
    C
    QR
  • D
    PQ

Solution

The moment of inertia is given by $$ \mathrm{I}=\sum \mathrm{m}_{\mathrm{i}} \mathrm{r}_{\mathrm{i}}^2 $$ If the distance of particles from the axis of rotation is larger, then the moment of inertia will be larger. For axis $\mathrm{QR}$, the particles will be situated at greater distances and hence the moment of inertia will be greater.

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

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