Mathematical Representation of Harmonic Waves
Physics ⇒ Waves and Sound
Mathematical Representation of Harmonic Waves starts at 10 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Mathematical Representation of Harmonic Waves.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
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?
If a wave has a period of 0.02 seconds, 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 described by y(x, t) = 0.3 sin(6x - 12t), what is its period?
If a wave is described by y(x, t) = 0.4 sin(8x - 16t), what is its frequency?
If the amplitude of a wave is doubled, what happens to the energy carried by the wave?
If the equation of a wave is y(x, t) = 2 sin(3x - 6t), what is the angular frequency (ω)?
If the phase constant (φ) is π/2, what is the initial displacement of the wave y(x, t) = A sin(kx - ωt + φ) at x = 0 and t = 0?
If the wave number (k) is 4π m⁻¹, what is the wavelength (λ)?
What is the general mathematical equation for a harmonic wave traveling along the x-axis?
