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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A wave has a wavelength of 2 m and a speed of 10 m/s. What is its frequency?
A wave is described by y(x,t) = 0.2 sin(4x - 8t). What is the period of the wave?
A wave is described by y(x,t) = 0.3 sin(2x - 6t). What is the maximum speed of a particle in the medium?
A wave is described by y(x,t) = 2 sin(3x - 6t). What is the wavelength of the wave?
A wave is described by y(x,t) = 3 sin(5x - 10t + π/4). What is the frequency of the wave?
A wave is described by y(x,t) = 5 sin(2x - 3t). What is the angular frequency of the wave?
A wave is given by y(x,t) = 0.5 cos(2x + 4t). What is the direction of propagation of the wave?
A wave is represented by y(x,t) = 0.1 sin(6x - 12t + π/2). What is the phase constant?
If a wave has a period of 0.01 s, what is its frequency?
If a wave has a wavelength of 0.5 m and a frequency of 200 Hz, what is its speed?
If a wave has an angular frequency of 10 rad/s and a wave number of 2 rad/m, what is its speed?
If the amplitude of a wave is doubled, what happens to the maximum displacement of the particles?
If the displacement of a wave is given by y(x,t) = A cos(kx - ωt), what is the phase difference between two points separated by half a wavelength?
If the frequency of a wave is doubled, what happens to its period?
If the phase constant φ in a wave equation is zero, what is the initial displacement of the particle at x = 0 and t = 0?
If the phase constant φ is increased by π/2, what happens to the initial displacement of the wave at x = 0, t = 0?
In the equation y(x,t) = A sin(kx - ωt + φ), what does the symbol A represent?
The displacement of a particle in a harmonic wave is given by y(x,t) = 0.02 sin(4πx - 200πt). What is the amplitude of the wave?
The mathematical representation of a standing wave is given by 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 in the positive x-direction?
