Which of the following statements about gravitational force is NOT correct?
It is same for all pairs of bodies in our universe
Let's analyze the properties of gravitational force to determine which statement is NOT correct. Gravitational force is one of the fundamental forces in the universe. It is described by Newton's Law of Universal Gravitation, which states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula for gravitational force ($\(F\)$) between two bodies with masses \(m_1\) and \(m_2\), separated by a distance \(r\), is given by:
$\(F = G \frac{m_1 m_2}{r^2}\)$
Where \(G\) is the gravitational constant.
Let's examine each statement provided in the options:
According to Newton's Law, gravity is universal. Every object with mass exerts a gravitational pull on every other object with mass, regardless of how small or large they are or how far apart they are. So, this statement is correct.
Celestial bodies like planets, stars, and galaxies have enormous masses. Because gravitational force is directly proportional to the product of masses ($\(m_1 m_2\)$), the force between these massive objects is very strong. It is gravity that holds planets in orbit around stars, stars in galaxies, and galaxies in clusters. Therefore, it is the dominant force on a large scale between celestial bodies. This statement is correct.
Atoms have extremely small masses. While gravitational force exists between atoms, its magnitude is incredibly tiny compared to other fundamental forces acting at the atomic level, such as electromagnetic forces (which bind electrons to the nucleus and atoms together) or nuclear forces (binding protons and neutrons). Thus, gravity is indeed negligible at the atomic scale. This statement is correct.
The formula $\(F = G \frac{m_1 m_2}{r^2}\)$ clearly shows that the gravitational force between two bodies depends on their specific masses ($\(m_1\)$ and \(m_2\)) and the distance ($\(r\)$) between them. Since different pairs of bodies have different masses and different distances between them, the gravitational force will be different for different pairs. For example, the force between the Earth and the Moon is different from the force between the Earth and the Sun, and both are different from the force between two apples on a table. This statement is incorrect.
Based on the analysis, the statement that is NOT correct about gravitational force is that it is the same for all pairs of bodies in our universe.
| Property | Description |
|---|---|
| Nature | Always attractive |
| Universality | Acts between all pairs of objects with mass |
| Dependence | Proportional to product of masses, inversely proportional to square of distance |
| Strength | Weakest fundamental force; dominant only for large masses/distances |
| Range | Infinite range |
Understanding gravitational force is crucial in physics and astronomy. Here are a few more points:
Which of the following laws says that "Every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them?"
The force of attraction between two objects of masses 'M' and 'm' which lie at a distance 'd' from each other is directly proportional to the-
The force of attraction (F) between two particles having masses m 1and m 2is given by _______. (If r is the distance between them and G is a universal constant)
Three point masses each of mass m are placed at the three corners of an equilateral triangle of side x. Find the resultant force acting on any one particle at the corner.
Imagine a light planet is revolving around a star in a circular orbit of radius R with the period of revolution T . If the gravitational force of attraction between the two is proportional to R(-5/2) then