10 Questions
What is the primary characteristic that distinguishes a mechanical wave from an electromagnetic wave?
The wave requires a physical medium to propagate.
What is the period of a simple pendulum if its length is 2 meters and acceleration due to gravity is 9.8 m/s²?
1.41 s
A transverse wave is propagating through a rope. What is the direction of the particles of the rope in relation to the direction of the wave propagation?
The particles oscillate perpendicular to the direction of wave propagation.
A spring is oscillating with a frequency of 2 Hz. What is the period of the oscillation?
0.5 s
What is the main difference between a longitudinal wave and a transverse wave?
The direction of particle oscillation.
A pendulum has a length of 3 meters and is oscillating in simple harmonic motion. What is the angular frequency of the pendulum?
The angular frequency of the pendulum is √(g/L) = √(9.8/3) = √3.267 rad/s.
A spring with a spring constant of 100 N/m is oscillating with an amplitude of 0.1 m. What is the total energy of the oscillation?
The total energy of the oscillation is (1/2)kA² = (1/2)(100)(0.1)² = 0.5 J.
A wave has a frequency of 50 Hz and a wavelength of 2 meters. What is the speed of the wave?
The speed of the wave is the product of the frequency and wavelength, v = fλ = (50)(2) = 100 m/s.
A transverse wave is propagating through a medium with a speed of 200 m/s. If the wavelength of the wave is 4 meters, what is the period of the wave?
The period of the wave is the reciprocal of the frequency, T = λ/v = 4/200 = 0.02 s.
An electromagnetic wave has a frequency of 3 x 10⁸ Hz. What is the wavelength of the wave?
The wavelength of the wave is the speed of light divided by the frequency, λ = c/f = (3 x 10⁸ m/s) / (3 x 10⁸ Hz) = 1 m.
Test your understanding of simple harmonic motion, wave properties, and types of waves, including transverse, longitudinal, mechanical, and electromagnetic waves. Calculate pendulum and spring periods with ease!
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