Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with - Physics MCQ NEET (UG) 2018 2026 | ExamTest.live

mediumMCQNEET (UG) 20182026Physics

1 mark

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation:

Solution & Step-by-step Explanation

1. Work done to bring an object to rest is equal to its rotational kinetic energy: W = \frac{1}{2} I ω^{2} .2. Since ω is the same, W \propto I .3. Moment of Inertia for the objects: I_{A} (Solid Sphere) = \frac{2}{5} M R^{2} = 0.4 M R^{2} I_{B} (Disk) = \frac{1}{2} M R^{2} = 0.5 M R^{2} I_{C} (Ring) = M R^{2} = 1.0 M R^{2} Order of Moment of Inertia: I_{C} > I_{B} > I_{A} .Therefore: W_{C} > W_{B} > W_{A} .

Try it yourself before checking the explanation above.

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation:

W_{B} > W_{A} > W_{C}

W_{A} > W_{B} > W_{C}

W_{C} > W_{B} > W_{A}

W_{A} > W_{C} > W_{B}

Practice with timed mock tests and track your performance across Physics.