Question

1. # Give Four Pairs Of Physical Quantities Having The Same Dimensions.

## Introduction

In mathematics, two quantities are said to be equal if they have the same dimensions. This means that, for example, the length and width of a rectangle are both equal to 12 inches. When it comes to physical quantities, sometimes things can get a little more complicated. In this blog post, we will explore four pairs of physical quantities having the same dimensions but different values. By doing so, you will gain a better understanding of how to solve problems involving physical quantities.

## The Hypotenuse

The hypotenuse of a right triangle is the length of the side opposite the right angle. It is also the shortest side of the triangle. The hypotenuse has three square roots, so it can be decomposed into two squares and a linear distance.

To find the length of the hypotenuse, divide one side by two and then add that value to the other side.

For example, if someone asks you to find the length of the hypotenuse in a right triangle and gives you lengths A and B as 2X and 3X respectively, you would do the following calculation:
2X + 3X = 5X
5X = 10X
10X = 15X
So, 15X is equal to the length of the hypotenuse.

## The Opposite Triangle

In geometry, there are four pairs of physical quantities having the same dimensions.
The first pair is length and width. They have the same dimensions, but they can be measured in different ways. Width can be measured with a ruler, and length can be measured with a yardstick.

The second pair is height and depth. They have the same dimensions, but they can also be measured in different ways. Height can be measured with a meter stick, and depth can be measured with a meter probe.

The third pair is weight and pressure. They have the same dimensions, but they can also be measured in different ways. Weight can be measured with an ounce scale, and pressure can be measured with a barometer.

The fourth pair is temperature and volume. They have the same dimensions, but they can also be measured in different ways. Temperature can be measured with a thermometer, and volume can be measured with a cup or container

## The Square

Four pairs of physical quantities having the same dimensions can be found by using the following equation:

P1xP2yP3z = P4

In this equation, P1, P2, P3, and P4 are the physical quantities. The dimension of a quantity is how many times it is measured along a particular axis. In this case, all four quantities have the same dimension because they are all measured in meters.

## Conclusion

Physical quantities having the same dimensions can be compared by comparing their mass and volume. To do this, divide the mass by the volume to get density. Example: 2 kg divided by 1 cm3 = 0.2 g/cm3