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 9
Explain what is meant by the term 'wave function' in the context of the wave equation.
Explain why the wave speed remains constant in a given medium, even if the frequency changes.
If the frequency of a wave doubles, what happens to its wavelength (assuming speed is constant)?
State the relationship between wave speed, frequency, and wavelength.
Which of the following best describes a transverse wave? (1) Particles move parallel to wave direction (2) Particles move perpendicular to wave direction (3) Particles do not move (4) Particles move in circles
Which of the following best describes the term 'period' of a wave? (1) The number of waves per second (2) The time for one complete cycle (3) The distance between two crests (4) The maximum displacement
Which of the following equations represents a wave traveling in the negative x-direction? (1) y(x,t) = A sin(kx - ωt) (2) y(x,t) = A sin(kx + ωt) (3) y(x,t) = A cos(kx - ωt) (4) y(x,t) = A cos(kx + ωt)
Which of the following is a property of all waves described by the wave equation? (1) They transfer matter (2) They transfer energy (3) They require a medium (4) They have mass
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)
Which of the following is the correct relationship between period (T) and frequency (f)? (1) T = 1/f (2) T = f (3) T = f × λ (4) T = v/f
Which of the following is the correct unit for wave speed? (1) m/s (2) Hz (3) m (4) s
Which of the following quantities does the wave equation relate? (1) Displacement, position, and time (2) Force, mass, and acceleration (3) Pressure, volume, and temperature (4) Current, voltage, and resistance
Fill in the blank: The distance between two consecutive crests of a wave is called the ______.
Fill in the blank: The maximum displacement from the rest position in a wave is called the ______.
Fill in the blank: The SI unit of frequency is ______.
Fill in the blank: The time taken for one complete cycle of a wave is called the ______.
True or False: The amplitude of a wave affects its speed.
True or False: The speed of a wave depends on the properties of the medium through which it travels.
True or False: The wave equation can be applied to both longitudinal and transverse waves.
True or False: The wave equation can be derived from Newton’s laws of motion for mechanical waves.
