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 10
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
A wave has a wavelength of 0.8 m and a frequency of 250 Hz. What is its speed?
A wave is described by y(x, t) = 3 sin(2x - 8t). What is the amplitude of the wave?
A wave is represented by y(x, t) = 0.1 sin(2πx - 10πt). What is its frequency?
A wave is represented by y(x, t) = 0.2 sin(5x - 20t). What is its wavelength?
A wave is represented by y(x, t) = 0.5 sin(2πx - 4πt). What is its speed?
A wave is represented by y(x, t) = 0.6 sin(10x - 30t). What is its period?
A wave travels with a speed of 340 m/s and has a frequency of 170 Hz. What is its wavelength?
In the equation y(x, t) = A sin(kx - ωt + φ), what does the symbol 'A' represent? (1) Amplitude, (2) Wavelength, (3) Frequency, (4) Phase constant
The phase constant (φ) in the wave equation determines the wave's: (1) Speed, (2) Initial position, (3) Amplitude, (4) Frequency
Which of the following best describes a harmonic wave? (1) A wave with a sinusoidal shape, (2) A wave with random oscillations, (3) A wave with exponential growth, (4) A wave with a square shape
Which of the following equations represents a harmonic wave? (1) y = A sin(kx - ωt), (2) y = A x², (3) y = A e^(kx), (4) y = A/x
Fill in the blank: The angular frequency (ω) is measured in ________.
Fill in the blank: The mathematical representation of a harmonic wave is based on the ________ function.
Fill in the blank: The number of complete oscillations per second is called the ________.
Fill in the blank: The phase constant (φ) shifts the wave along the ________ axis.
True or False: The amplitude of a harmonic wave affects its speed.
True or False: The angular frequency (ω) of a harmonic wave is related to its frequency (f) by the equation ω = 2πf.
True or False: The direction of wave propagation can be determined by the sign in front of ωt in the wave equation.
True or False: The displacement of a particle in a harmonic wave is always positive.
