
What is the formula for calculating wave velocity?
Answer
464.4k+ views
Hint: Wave velocity is the velocity with which the wave propagates. It is expressed as a product of wavelength of the wave and frequency of the wave in a medium. In vacuum the velocity of all the electromagnetic waves is the speed of light (c).
Complete step by step answer:
Wave is created usually when particles of a medium oscillate about their mean position either along the wave direction or perpendicular to it. Wave are of two types: 1. Longitudinal waves, in which the direction of propagation of the wave is the same as the particle motion. 2. Transverse waves, where the motion of particles is perpendicular to the propagation of the wave. Now, waves travel with some velocity in a medium. When a particle of that medium completes one full oscillation, it does so in time period T. Therefore, the wave velocity is the distance that the particle of the medium covers in this time. ${\text{wave velocity = }}\dfrac{\lambda }{T} = \nu \lambda $ Consider the wave motion in a transverse wave. This wave consists of different particles that are performing simple harmonic motion about some mean position. Consider a particle in this wave (see figure). Consider that this particle is represented by Red Dot in the diagram. When the particle starts from this position and as the wave propagates through this point, it comes back to the same position. That helps in defining the velocity of wave propagation.
Note: Wave velocity is also called phase velocity. This means that we are considering how much time, a particle in a wave is able to come back to the same phase where it started. Phase is the respective angular position that a particle of the wave possesses in terms of mean/extreme position.
Complete step by step answer:
Wave is created usually when particles of a medium oscillate about their mean position either along the wave direction or perpendicular to it. Wave are of two types: 1. Longitudinal waves, in which the direction of propagation of the wave is the same as the particle motion. 2. Transverse waves, where the motion of particles is perpendicular to the propagation of the wave. Now, waves travel with some velocity in a medium. When a particle of that medium completes one full oscillation, it does so in time period T. Therefore, the wave velocity is the distance that the particle of the medium covers in this time. ${\text{wave velocity = }}\dfrac{\lambda }{T} = \nu \lambda $ Consider the wave motion in a transverse wave. This wave consists of different particles that are performing simple harmonic motion about some mean position. Consider a particle in this wave (see figure). Consider that this particle is represented by Red Dot in the diagram. When the particle starts from this position and as the wave propagates through this point, it comes back to the same position. That helps in defining the velocity of wave propagation.

Note: Wave velocity is also called phase velocity. This means that we are considering how much time, a particle in a wave is able to come back to the same phase where it started. Phase is the respective angular position that a particle of the wave possesses in terms of mean/extreme position.
Recently Updated Pages
While covering a distance of 30km Ajeet takes 2 ho-class-11-maths-CBSE

Sanjeevani booti brought about by Lord Hanuman to cure class 11 biology CBSE

A police jeep on patrol duty on a national highway class 11 physics CBSE

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How much is 23 kg in pounds class 11 chemistry CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
