Mathematical Representation of Harmonic Waves
Physics ⇒ Waves and Sound
Mathematical Representation of Harmonic Waves starts at 10 and continues till grade 12.
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See sample questions for grade 11
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
A wave has a wavenumber of 4 m-1. What is its wavelength?
A wave is described by y(x, t) = 0.1 sin(5x - 20t + π/4). What is the value of the phase constant (φ)?
A wave is described by y(x, t) = 0.2 sin(10x - 40t). What is its wavelength?
A wave is described by y(x, t) = 0.4 sin(3x - 9t + π/3). What is the frequency of the wave?
A wave is described by y(x, t) = 0.6 sin(2x - 8t). What is the period of the wave?
A wave is given by y(x, t) = 3 sin(2x - 5t). What is the value of the angular frequency (ω)?
If a wave has a period of 0.02 s, what is its frequency?
If a wave is described by y(x, t) = 0.05 sin(4πx - 200πt), what is its amplitude?
If a wave is represented by y(x, t) = 0.3 cos(2x - 6t), what is the amplitude?
If the equation of a wave is y(x, t) = 0.5 sin(8x - 24t), calculate its frequency.
If the phase constant (φ) in a wave equation is π/2, what is the initial phase of the wave at x = 0, t = 0?
The displacement of a particle in a harmonic wave at a given position and time is given by y(x, t) = A sin(kx - ωt + φ). If A = 1, k = π, ω = 2π, φ = 0, x = 0.5, t = 0.25, calculate y(x, t).
The mathematical representation of a standing wave is y(x, t) = 2A sin(kx) cos(ωt). What is the amplitude of the antinodes?
What is the general mathematical equation for a one-dimensional harmonic wave traveling along the x-axis?
