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Wave Equation

Physics ⇒ Waves and Sound

Wave Equation starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Wave Equation. 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 sound wave travels at 340 m/s and has a frequency of 170 Hz. What is its wavelength?
A string has a linear density of 0.01 kg/m and is under a tension of 100 N. What is the speed of a wave on this string?
A wave has a period of 0.01 seconds. What is its frequency?
A wave has a wavelength of 0.5 m and a frequency of 600 Hz. Calculate its speed.
A wave is described by the equation y(x, t) = 0.05 sin(4πx - 200πt). What is the wavelength of the wave?
A wave travels with a speed of 1500 m/s in water. If its frequency is 500 Hz, what is its wavelength?
Describe the difference between longitudinal and transverse waves.
Describe what is meant by the term 'phase' in the context of wave motion.
Explain what is meant by a 'transverse wave' and give an example.
Explain why the wave equation is considered a second-order partial differential equation.
If a wave equation is given as y(x, t) = A sin(kx - ωt), what does the term ω represent?
If a wave travels 600 meters in 3 seconds, what is its speed?
If the frequency of a wave is doubled but the speed remains constant, what happens to the wavelength?
If the speed of a wave is 250 m/s and its wavelength is 5 m, what is its frequency?
What is the general form of the wave equation for a one-dimensional wave traveling along the x-axis?
A sound wave in air has a wavelength of 0.68 m and travels at 340 m/s. How many complete waves pass a fixed point in 2 seconds?
A wave has a frequency of 250 Hz and a wavelength of 0.8 m. Calculate the time it takes for one complete wave to pass a fixed point.
A wave is described by the equation y(x, t) = 0.02 cos(6πx + 300πt). Calculate the frequency and the direction of propagation of the wave.
A wave pulse on a string is reflected from a fixed end. Describe the change in phase, if any, of the reflected wave pulse.
A wave travels along a string and is given by y(x, t) = 0.1 sin(8x - 40t), where x and y are in meters and t is in seconds. What is the speed of the wave?