# Dimension Of Gravitational Constant images by.doubtnut.com

## Introduction to the Dimension of Gravitational Constant

The gravitational constant, which is represented by the letter G, is one of the most important concepts in physics. It is the measure of the strength of the gravitational force between two objects in the universe. It is an important part of Newton's law of universal gravitation, as it is used to calculate the force of gravity between two objects. The gravitational constant has been measured in multiple ways over the years and is thought to be an exact number. The dimension of the gravitational constant is dependent upon the unit of measurement used.

### What is the Dimension of the Gravitational Constant?

The dimension of the gravitational constant is expressed as a combination of length, mass, and time. It is usually expressed in units of Newtons per kilogram or meters cubed per second squared. This means that the gravitational constant has a dimension of LMT-2, which stands for length, mass, and time, raised to the power of two. This means that the gravitational constant is a measure of the strength of the gravitational force between two objects, taking into account their mass and the distance between them.

### The Significance of the Gravitational Constant

The gravitational constant is an important part of understanding the universe. It helps to explain the behavior of matter and energy on both the large and small scales. It also helps to explain how galaxies interact with each other, as well as how stars, planets, and other celestial bodies interact with each other. The gravitational constant is also important in understanding the behavior of light and other electromagnetic radiation.

### Historical Measurements of the Gravitational Constant

The gravitational constant has been measured by scientists since the 17th century. The first recorded measurement of the gravitational constant was made by Henry Cavendish in 1798 using two lead spheres. Since then, many more measurements have been made, with the most accurate being made by the Gravity Probe B satellite in 2004. The satellite used an ultra-sensitive gyroscope to measure the gravitational constant with an accuracy of 0.0003%.

### The Value of the Gravitational Constant

The value of the gravitational constant is currently estimated to be 6.67408 x 10-11 m3 kg-1 s-2. This value is useful for calculating the force of gravity between two objects, but it is also useful in understanding the behavior of light and electromagnetic radiation. It is also important in explaining the behavior of matter on a large scale, such as the formation of galaxies and stars.

### The Uniqueness of the Gravitational Constant

The gravitational constant is unique in that it is a universal constant. This means that the value of the gravitational constant is the same for any two objects in the universe, regardless of their mass or the distance between them. This is unlike other physical constants, such as the speed of light, which changes depending on the medium it is travelling through.

## Conclusion

The gravitational constant is an important concept in physics, as it helps to explain the behavior of matter and energy on both the small and large scales. It is also a universal constant, meaning that its value is the same for any two objects in the universe. The dimension of the gravitational constant is expressed as a combination of length, mass, and time, and its value is currently estimated to be 6.67408 x 10-11 m3 kg-1 s-2. Knowing and understanding the gravitational constant is essential in understanding the universe around us.