Lissajous Figures : Part - 7

Physics class on Waves (Part - 7): Lissajous figures is the combination of two perpendicular simple harmonic vibrations. Here, we have taken the condition of equal frequencies. We will derive an expression for an equation for the resultant path of the particle. Here, we will also discuss some of the important cases.

In part - 6, Speed of Waves in a Stretched String and its Modes of Vibrations, in this topic we will see the velocity/speed of transverse waves in a stretched string and expression for the frequency of vibration of a stretched string and its harmonics. As the wire vibrates in a segment, nodes are formed at fixed ends, and an antinode is formed in the middle. Amplitude is minimum at nodes and amplitude is maximum at antinodes. Equations (1), (2), and (3) are frequencies of the node emitted by the string. The equation for the frequency of vibration is given for 'P' segments.

In part - 5, Newton-Laplace formula for the velocity of sound explains how Netwon derived the formula for the velocity of sound by stating his assumptions. Newton's theoretical value for the velocity of sound is shown. The reason for incorrect formula or wrong assumptions for the sound medium is given. Laplace's argument and his assumption are explained with a picture for better clarification. Modification for Newton's formula by Laplace correction to the velocity of sound is explained. Newton's formula corrected by Laplace is now known as the Newton-Laplace formula. The theoretical value for the velocity of sound after the Laplace correction is shown to prove that the assumptions made by the Laplace are correct.

In part - 4, the velocity of the longitudinal wave in a solid medium is illustrated with a diagram, and the expression for the velocity of a longitudinal wave is derived. Each step of the procedure to derive the expression of the velocity of the longitudinal wave is clearly explained. Easy to understand and learn.

In part - 3, a longitudinal wave is explained clearly with examples and a longitudinal wave graph is discussed. The velocity of the longitudinal wave in a fluid medium is illustrated with a diagram and the expression for the velocity of a longitudinal wave is derived. Each step of the procedure to derive the expression of the velocity of the longitudinal wave is clearly explained

In part - 2, we discussed the progressive wave. We learned to derive an equation of a plane progressive simple harmonic wave motion along the positive x-axis and along the negative x-axis is derived. The derivation is extended to the differential form of the wave equation or expression for the velocity of a progressive wave. This derivation is very easy to understand if you know the differential calculus which is a very important concept in mathematics.

In part - 1, we discussed the introduction of waves. We learned, what is a wave? Characteristics of waves clearly discussed. Their parameters like wavelength, frequency, amplitude, wave number, and wave velocity. Wave graph describing the wave parameters. Types of waves are described in detail with examples. The difference between Mechanical waves and Non-mechanical waves is provided. Transverse waves and Longitudinal waves are differentiated and explained with animated examples. Surface waves are also explained with examples. Waves are discussed based on dimensions with examples. Role of waves in Earthquakes and Tsunami. How Tsunami occurs is explained clearly with the help of videos.

If you haven't watched Part-1, Part-2, Part -3, Part-4, Part-5, and Part-6 of Waves then you can check my youtube channel AISHWARYA ACADEMY.

Here is the link for Waves Part-1 video :

Here is the link for Waves Part-2 video :

Here is the link for Waves Part-3 video :

Here is the link for Waves Part-4 video :

Here is the link for Waves Part-5 video :

Here is the link for Waves Part-6 video :

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