Waves Test - 7...

Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constant φ, the result is a single wave with the same frequency ω :If φ = 0 or an integral multiple of 2 π, . The waves are exactly

A travelling wave, at a rigid boundary or a closed end,

Standing waves are characterized by fixed locations of zero displacement called nodes and fixed locations of maximum displacements called antinodes. The separation between two consecutive nodes or antinodes is.

A string of length L fixed at both ends or an air column closed at one end and open at the other end, vibrates with frequencies called its normal modes. Each of these frequencies is

Beats arise when two waves having slightly different frequencies, ν₁ and ν₂ and comparable amplitudes, are superposed. The beat frequency is

The human ear is most sensitive to sound in the frequency range of

in transverse waves, the constituents of the medium

in longitudinal waves, the constituents of the medium

Travelling or progressive wave