Correct option is A
The Correct Answer is: (a) Rectangular hyperbola
Explanation:
In rotational motion, angular momentum (L) is given by the relation:
L =
I⋅ω
If angular momentum (L) is kept constant, then the moment of inertia III and angular velocity ω are inversely proportional to each other:
I∝ω1
This is the equation of a rectangular hyperbola. Thus, a graph of I vs. ω (for constant angular momentum) will be a rectangular hyperbola.
Information Booster:
- Moment of Inertia (I): Measures a body's resistance to change in rotational motion.
- Angular Velocity (ω): Rate of rotation of an object per unit time.
- Under constant torque ,I∝ω, producing a linear graph.
- Rotational Kinetic Energy: KE = 21Iω2
- Moment of Inertia depends on mass distribution and axis of rotation.