Derive an expression for wave speed in terms of wavelength and frequency.

The general expression for speed is speed=distance/time.The wavelength (lambda) of a wave is the distance between one point on an oscillation to the exact same point on the next oscillation, or more simply the distance travelled in one oscillation. The time period (T) of a wave is the time taken for one complete oscillation. Therefore, for one oscillation, the distance travelled is the wavelength (Lambda) and the time taken is the time period (T). Using the general equation for speed, this gives wave speed (v)=wavelength (Lambda)/Time Period (T).The frequency (f) of a wave is the number of oscillations that occur in one second, and has a relationship with the time period (T) of frequency (f)=1/time period (T). Substituting this into the equation for wave speed gives wave speed (v)=frequency (f) x wavelength (Lambda).

MR
Answered by Muhammed R. Physics tutor

7985 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Explain what simple harmonic motion means?


An alpha particle is accelerated with 5MeV of kinetic energy towards the nucleus of a gold atom with atomic number 79. What is the distance of closest approach that is reached by the alpha particle?


How does a potential divider work?


Two identical uniform spheres each of radius R are placed in contact. The gravitational force between them is F. They are then separated until the force between them is one ninth of the magnitude. What is the distance between the surfaces of the spheres?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning