Superposition of Waves
Physics ⇒ Waves and Sound
Superposition of Waves starts at 10 and continues till grade 12.
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See sample questions for grade 11
A standing wave is described by y(x, t) = 4 sin(πx) cos(20πt). What is the amplitude of the antinodes?
A string fixed at both ends vibrates in its second harmonic. How many nodes and antinodes are present?
A string of length 1 m is fixed at both ends and vibrates in its fundamental mode. If the speed of the wave is 200 m/s, what is the frequency of the fundamental?
Describe the difference between a node and an antinode in a standing wave.
Describe what is meant by constructive and destructive interference.
Explain why beats are heard when two sound waves of slightly different frequencies interfere.
Explain why two light waves from different lamps do not produce a sustained interference pattern.
If two sound waves of slightly different frequencies interfere, what phenomenon is heard?
If two waves interfere constructively, what happens to the amplitude at the point of superposition?
If two waves of amplitude 3 cm and 4 cm superpose in phase, what is the resultant amplitude?
If two waves of amplitude 5 units and 12 units superpose at a point with a phase difference of 0, what is the resultant amplitude?
If two waves of amplitude 5 units and 12 units superpose at a point with a phase difference of π, what is the resultant amplitude?
If two waves of equal amplitude a and phase difference π/2 superpose, what is the resultant amplitude?
If two waves of frequency 256 Hz and 260 Hz interfere, what is the beat frequency produced?
State the principle of superposition of waves.
When two waves of equal amplitude and frequency travel in opposite directions, what type of wave is formed?
When two waves of the same frequency and amplitude interfere destructively, what is the minimum possible amplitude of the resultant wave?
A sound wave of frequency 500 Hz and another of frequency 505 Hz are played together. If the amplitude of each wave is 2 units, what is the maximum and minimum amplitude heard due to superposition?
A standing wave is formed on a string of length L. If the string vibrates in its nth harmonic, what is the mathematical expression for the wavelength of the standing wave in terms of L and n?
A string of length 1.2 m is fixed at both ends. It supports a standing wave pattern with 4 antinodes. If the speed of the wave on the string is 180 m/s, what is the frequency of the wave?
