Wave Equation
Physics ⇒ Waves and Sound
Wave Equation starts at 9 and continues till grade 12.
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See sample questions for grade 10
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.
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.
Which of the following best describes the term 'wavelength'?
(1) The number of waves passing a point per second
(2) The distance between two consecutive crests or troughs
(3) The height of the wave
(4) The speed at which the wave travels
Which of the following factors does NOT affect the speed of sound in air?
(1) Temperature
(2) Air pressure
(3) Humidity
(4) Frequency of the sound
Which of the following is a correct unit for wave speed?
(1) m/s
(2) Hz
(3) m
(4) s
Which of the following is NOT a solution to the wave equation?
(1) y(x, t) = A sin(kx - ωt)
(2) y(x, t) = A cos(kx + ωt)
(3) y(x, t) = A x² + B t²
(4) y(x, t) = A sin(kx + ωt)
Fill in the blank: The frequency of a wave is the _______ of the period.
Fill in the blank: The mathematical symbol for wavelength is _______.
Fill in the blank: The speed of a wave on a stretched string is given by v = _______.
Fill in the blank: The speed of a wave on a string depends on the _______ and the tension in the string.
True or False: The amplitude of a wave affects its speed.
True or False: The direction of wave propagation is always the same as the direction of particle vibration.
True or False: The wave equation can be applied to both periodic and non-periodic waves.
True or False: The wave equation can be used to describe both sound waves and light waves.
