The correct option is **B**: It is a vector quantity that points towards the mass creating it and its strength decreases with distance. ### Detailed Explanation: 1. **Understanding Gravitational Field**: - A gravitational field is a region of space surrounding a mass where another mass experiences a force due to gravity. This force is described by Newton's law of universal gravitation. 2. **Vector Quantity**: - A vector quantity has both magnitude (how strong it is) and direction (which way it points). The gravitational field is a vector because it not only has a strength (measured in newtons per kilogram, N/kg) but also a direction, which is always directed towards the mass that is creating the field. 3. **Direction of the Gravitational Field**: - The gravitational field always points towards the mass creating it. This is because gravity is an attractive force; it pulls objects towards the mass. For example, if you consider Earth, the gravitational field points towards the center of the Earth. 4. **Strength of the Gravitational Field**: - The strength of the gravitational field decreases with distance from the mass. This is described by the formula: \[ g = \frac{G \cdot M}{r^2} \] where: - \( g \) is the gravitational field strength, - \( G \) is the gravitational constant (\(6.674 \times 10^{-11} \, \text{N m}^2/\text{kg}^2\)), - \( M \) is the mass creating the gravitational field, - \( r \) is the distance from the center of the mass to the point where the field is being measured. - As \( r \) increases, \( g \) decreases, indicating that the gravitational field strength diminishes with distance. ### Why Other Options Are Incorrect: - **Option A**: "It is a scalar quantity that only depends on the mass of the object creating it." - This option is incorrect because the gravitational field is not a scalar quantity; it is a vector. Scalars have only magnitude and no direction, which does not apply to gravitational fields. Additionally, while the mass does influence the strength of the gravitational field, the distance from the mass also plays a crucial role. - **Option C**: "It is a vector quantity that points towards the mass creating it and its strength increases with distance." - This option correctly states that the gravitational field is a vector and points towards the mass, but it incorrectly states that its strength increases with distance. In reality, the strength of the gravitational field decreases as you move away from the mass. - **Option D**: "It is a scalar quantity that varies depending on the velocity of objects within the field." - This option is incorrect because it describes the gravitational field as a scalar quantity, which it is not. The gravitational field does not depend on the velocity of objects within it; it is determined solely by the mass creating it and the distance from that mass. ### Summary: - The gravitational field is a vector quantity that points towards the mass creating it. - Its strength decreases with distance from the mass, following the inverse square law. - It is essential to understand the distinction between scalar and vector quantities in physics. - Remember the formula for gravitational field strength to solve related problems effectively.