• # question_answer Percentage error in measuring the radius and mass of hollow sphere are $2%$ and $4%$ respectively. Then error in measurement of moment of inertia with respect to its diameter is- A) $10%$              B) $6%$ C) $8%$                            D) $4%$

$I\,\,=\,\,\frac{2}{3}\,M{{R}^{2}}$ $\frac{\Delta I}{I}\,\times \,100\,\,=\,\,\frac{\,\Delta M}{M}\,\,\times 100+2\,\,\frac{\Delta R}{R}\times 100$ $=\text{ }4%\,\,+\,\,(2\,\,\times \,\,2\,%)\,\,=\,\,8\,%$