An energy transfer through a medium is referred to as a wave. The parachutes often create fantastic ripples that behave very much like waves. The wind provides energy to the ocean waves. This energy is absorbed by the water, which then radiates it as a wave. This wave can undoubtedly travel a great distance. Waves are best understood as swells and depressions. Additionally, waves are not only found in water. The powering of the waves can happen in a variety of ways, including the movement of the Earth’s plates or the creation of sound.
On the Extramarks website and mobile application, students can view a comprehensive explanation of the Wave Formula. These solutions, which are based on the Wave Formula, make it easier for students to comprehend the ideas. All necessary formulas in the solutions for the Wave Formula have been highlighted and mentioned in the article so that students can find them quickly and easily without wasting any time.
These notes on the Wave Formula, which are accessible via the Extramarks website and mobile application, will provide answers to students’ inquiries. For board exams, the notes on the Wave Formula are very helpful because they can help students solidify their foundations. The article has successfully used examples to illustrate the necessity of the Wave Formula.
What is Wave
A wave is a field disturbance where an oscillation of a physical property occurs repeatedly at each point. Additionally, a physical characteristic appears to move through space when it is part of a wave. Furthermore, electromagnetic and mechanical waves are frequent in the study of physics. The gravitational wave, physical wave, and plane wave are some additional types of waves.
Students must learn the Wave Formula at all costs. Students can better understand the chapter’s concepts if they have a solid grasp of derivations. The Extramarks website and mobile app both contain the Wave Formula for students to use. The study materials on the Wave Formula provided by Extramarks provide a thorough explanation of each and every step. The study materials for the Wave Formula offered by Extramarks can be trusted because they are written by subject-matter experts. Students can learn any subject thoroughly with the aid of solved examples for the Wave Formula. To fully comprehend this subject, they should therefore refer to the Wave Formula solved questions. To assist students in answering questions, Extramarks offers NCERT solutions. Students can refer to the NCERT solutions of Water Formula to refer to solved examples.
The first particle of a periodic nature is disturbed by a vibrating source, which causes the production waves. This undoubtedly generates a wave pattern that starts to propagate through the medium and from particle to particle. Additionally, the frequency at which a particle vibrates is the same as the frequency of sound vibration.
Furthermore, the period of vibration of each individual particle is the same as the period of vibration of the source. Most importantly, one full wave cycle describes the full back and forth motion.
The movement of the wave is one wavelength in one period of time. Therefore, this data must be combined with the speed equation. As a result, one can assert that a wave’s speed is unquestionably its wavelength or period.
Wavelength/Period = Speed
The reciprocal of the frequency is also referred to as the period. In the equation above, the term “period” can be replaced with the expression “1/f”. As a result, the equation is rearranged to produce a new equation of the following form:
Wavelength x Frequency equals speed.
The waves equation is the formula or equation mentioned above. It explains the mathematical connection between a wave’s speed, wavelength, and frequency. Consequently, the formula or equation can be rewritten asThe waves equation is the formula or equation mentioned above. It explains the mathematical connection between a wave’s speed, wavelength, and frequency. Consequently, the formula or equation can be rewritten as:
v = f × λ
where, v = speed of
f = frequency
λ = wavelength
Wave Formula Derivation
Obviously, the way the wave equation is derived depends on the situation. The derivation takes place in a specific straightforward physical environment. Additionally, this setting is that of Hooke’s law-compliant minor oscillations on a piece of string.
The forces acting on a tiny element of a certain mass dm contained in a tiny interval dx must be taken into account. When there is only a slight displacement, the horizontal force is close to zero.
Solved Examples on Wave Formula
Q1. A wave has a frequency of 50 Hz. It also has a wavelength of 10 m. Find out the speed of the wave?
A1. We have:
f = 50 Hz
λ =10 m
v = ?
v = λ× f = (10 m)× (50 Hz) = 500 m/s
Therefore, speed of the wave is 500 m/s.