In a transverse waves the particles oscillate up and down but the direction of energy transfer is to the right/left, like a transverse wave, but in a transverse wave particles oscillate left to right.
CloseDistance along a wave is always measured with the wavelength, which is the distance between 2 points that are in phase. Since a crest and a trough are apart by exactly half a period, the answer is D.
CloseThe amplitude of a wave is the distance measured between a crest and a trough.
CloseThe wave equation is \( v = f\lambda \), plugging the values in, making sure the wavelength is in meters, so 0.5m, the answer is A.
CloseWhen it is cold in the night there is a layer of cold air close to the surface of the Earth, above which is warmer air. When a source makes a noise, the sounds travels the direct path to the observer, but it also refracts when it passes from warm to cold air, hence the sound travels to the observer via 2 paths.
CloseThese waves are made up of changing electric and magnetic fields, which are always perpendicular to the direction of propagation.
CloseSound waves consist of compressions and rarefactions and are longitudinal in nature. They require a material medium (solid, liquid, or gas) to travel because they rely on particle vibrations for propagation.
CloseThe wave speed is calculated using: \[ v = f \lambda \] \[ v = 500 \times 0.8 = 400 \, \mathrm{m/s} \]
CloseThe gradient of a displacement-time graph gives the rate of change of displacement, which is the velocity.
CloseThe points to the left of D are above the x axis, meaning they have displacements to the right (towards D), whereas particles to the right of D are underneath the x axis, thus have displacements to the left (towards D). Thus, particles from both sides of D are moving towards D, hence it is a compression.
CloseBoth particles at A and C have a displacement themselves, thus cannot be a compression or a rarefaction.
CloseThe relationship \(a = -\omega^2 x \) shows that acceleration is directly proportional to displacement but acts in the opposite direction, resulting in a straight-line graph with negative slope. (Gradient of \(-\omega^2\))
CloseIn SHM, the velocity is maximum at the equilibrium position where \( x = 0 \), and it is zero at the turning points where \( x = \pm A \). Hence, the velocity is maximum when the displacement is zero.
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