Waves, Sound, and Physical Optics
Two waves meet at a point. Wave A has a displacement of +0.4 m, and Wave B has a displacement of -0.6 m. What is the resulting displacement at that point?
+1.0 m
-1.0 m
-0.2 m
+0.2 m
Under what conditions does constructive interference occur?
When wave displacements are in opposite directions.
When wave displacements are perpendicular to each other.
When wave displacements are in the same direction.
When one of the waves has zero amplitude.
Two waves with amplitudes of 0.7 m and 0.9 m interfere. If the phase difference between them is such that destructive interference occurs, resulting in a minimum amplitude of 0.2 m, what is the phase difference between the two waves?
0 degrees
90 degrees
180 degrees
270 degrees
A piano tuner is trying to tune a string to 440 Hz. When the tuner plays a 440 Hz tone along with the piano string, they hear 2 beats per second. What adjustments should the tuner make to the piano string to tune it correctly?
Tighten the string to increase the frequency.
Loosen the string to decrease the frequency.
Either tighten or loosen the string until the beats disappear.
No adjustment is needed; the string is already in tune.
Two waves are traveling in the same medium. Wave A has an amplitude of 0.6 m and is in phase with Wave B, which has an amplitude of 0.8 m. What type of interference will occur, and what will be the resulting amplitude?
Destructive interference; 0.2 m
Constructive interference; 1.4 m
Destructive interference; 1.4 m
Constructive interference; 0.2 m
Two tuning forks are struck simultaneously. One has a frequency of 440 Hz, and the other has a frequency of 443 Hz. What is the beat frequency that will be heard?
3 Hz
441.5 Hz
883 Hz
0 Hz
Two sound waves produce a beat frequency of 4 Hz. If one of the original frequencies is 256 Hz, what is the other possible frequency?
252 Hz
258 Hz
260 Hz
Both 252 Hz and 260 Hz

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Two wave pulses are traveling towards each other on a string. What happens when they meet?
They bounce off each other and reverse direction.
They pass through each other, overlapping in the process.
They combine to form a single, larger pulse that continues in the original direction.
They cancel each other out completely.
Two waves are graphically represented. Wave 1 has a positive peak, and Wave 2 has a negative peak of the same magnitude at the same location. Sketch the resulting wave after superposition.
A wave with twice the amplitude of Wave 1.
A wave with the same amplitude as Wave 1, but shifted.
A straight line (no wave).
A wave with half the amplitude of Wave 1.
A wave with a displacement of +0.3 m meets another wave with a displacement of +0.5 m at the same point. According to the principle of superposition, what is the resulting displacement at that point?
-0.2 m
+0.2 m
+0.8 m
-0.8 m