Correct Option
The correct option isMass
Explanation
The fundamental distinction between mass and other gravitational quantities lies in whether the property is intrinsic to the object or dependent on external fields. Mass is a measure of the amount of matter in an object, whereas weight and gravitational parameters depend on location.Detailed Analysis:
- Weight is incorrect: Weight is the force exerted on an object due to gravity. It is defined as \( W = mg \), where \( m \) is mass and \( g \) is the acceleration due to gravity. Since \( g \) varies depending on the location in the universe, weight is not constant.
- Mass is correct: Mass is the quantity of matter contained in a body and is a measure of its inertia. It is an intrinsic property that does not change with location, speed (at non-relativistic speeds), or the presence of other bodies. Therefore, it remains constant anywhere in the universe.
- Gravitational potential is incorrect: Gravitational potential is the work done in moving a unit mass from infinity to a point in a gravitational field. It is a function of distance from the source mass (\( V = -GM/r \)) and varies from point to point.
- Acceleration due to gravity is incorrect: Acceleration due to gravity (\( g \)) is determined by the mass and radius of the celestial body attracting the object (\( g = GM/R^2 \)). It varies with altitude, depth, and the specific celestial body involved.
Key Takeaway: Mass is an absolute, scalar quantity representing the matter in an object and remains constant. Weight is a vector quantity representing gravitational force and varies with the strength of the local gravitational field.