There are two ways of representing the numerical values of Various Physical Quantities. Mention those Physical quantities. Compare and Contrast them by

Question

using wave form diagrams.

Answer 1

The two ways of representing the numerical values of various physical quantities are scalar and vector quantities.

1. Scalar Quantity: Scalar quantities are physical quantities that have magnitude only. They are described by their numerical value alone, without any specific direction. Some examples of scalar quantities include temperature, mass, time, speed, and energy. Scalar quantities can be represented by a straight line waveform diagram, where the vertical axis represents the magnitude of the quantity and the horizontal axis represents the time or any other relevant parameter. The waveform diagram for a scalar quantity would only show changes in magnitude over time, without any direction information.

2. Vector Quantity: Vector quantities are physical quantities that have both magnitude and direction. They are represented by a combination of their numerical value and a specified direction. Examples of vector quantities include displacement, velocity, acceleration, force, and momentum. Vector quantities can be represented by a waveform diagram that includes both magnitude and direction information. This is usually done using arrows or vectors, where the length represents the magnitude and the direction of the arrow represents the direction of the quantity. The waveform diagram for a vector quantity would show both changes in magnitude and changes in direction over time.

To illustrate the difference between scalar and vector quantities using waveform diagrams, let's consider the example of velocity. Velocity is a vector quantity that includes both magnitude (speed) and direction. In a waveform diagram representing velocity as a vector quantity, the length of the arrow or vector would represent the speed of the object, and the direction of the arrow would indicate the direction of the object's motion. On the other hand, if velocity is represented as a scalar quantity in a waveform diagram, it would only show changes in the speed of the object over time without any directional information.

In summary, scalar quantities are represented by waveform diagrams that show changes in magnitude only, while vector quantities are represented by waveform diagrams that include both magnitude and direction information.