Waves and Electromagnetic Radiation

Sound waves

Say why sound needs a medium, use v = λν and ν = 1/T, work out an echo distance, and place a frequency in the infrasonic, audible or ultrasonic band.

Put a ringing electric bell inside a jar and pump the air out. The clapper can still be seen moving, but the sound fades to nothing; let the air back in and it returns. Sound needs something to travel through — a solid, a liquid or a gas — and what travels is energy passed from particle to particle, not the particles themselves.

Four quantities, one equation

Wavelength λ is the distance from one crest to the next, in meters. Frequency ν is how many density oscillations pass a fixed point each second, in hertz. Time period T is how long one oscillation takes, in seconds, and ν = 1 ÷ T. Multiply the first two and you get the speed: v = λ × ν.

Have a play

Two sound waves, drawn one above the other.

Tap any part of the picture.

Worked example

How far away does a wall have to be before you can hear its echo? Take the speed of sound as 340 m/s.

  1. Start from the ear, not the wall: two sounds have to arrive at least 0.1 s apart to be heard as two.

    Closer than that and the brain merges the reflection into the original. This is a fact about hearing, and it is what sets the distance.

Try it together

Now work between period, frequency, wavelength and speed.

A sound wave in air has a time period of 0.004 s. Answer with a bare number each time.

    1.Use ν = 1 ÷ T. If the time period is 0.004 s, what is the frequency, in Hz?

    Have a go

    Have a go on your own. A wave has a wavelength of 1.5 m and a frequency of 220 Hz. What is its speed, in m/s? Answer with a number.

    Ready to practice?

    Eight questions on what you have just read. Nothing is timed, and you can play as many times as you like.

    Print a worksheet