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 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 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?
If the amplitude of a harmonic wave is doubled, what happens to the energy carried by the wave? (1) It is halved, (2) It remains the same, (3) It is doubled, (4) It is quadrupled
If the equation of a wave is y(x, t) = 2 sin(6x + 12t), is the wave traveling in the positive or negative x-direction? (1) Positive, (2) Negative
In the wave equation y(x, t) = A sin(kx - ωt + φ), what does the symbol A represent? (1) Amplitude, (2) Wavelength, (3) Frequency, (4) Phase constant
Which of the following best describes the physical meaning of the amplitude of a harmonic wave? (1) The distance between two crests, (2) The maximum displacement from equilibrium, (3) The number of oscillations per second, (4) The speed of the wave
The angular frequency (ω) of a harmonic wave is related to its frequency (f) by the equation ω = _________.
The displacement of a particle in a harmonic wave is maximum when the sine function equals _________.
The mathematical representation of a harmonic wave assumes the wave is ________ and ________.
The period (T) of a wave is the reciprocal of its _________.
True or False: The frequency of a wave is inversely proportional to its period.
True or False: The mathematical representation of a harmonic wave can be written using either sine or cosine functions.
True or False: The phase constant (φ) in the wave equation determines the initial position of the wave at t = 0.
True or False: The phase of a wave at a given point and time is given by (kx - ωt + φ).
