Exam 17: The Principle of Linear Superposition and Interference Phenomena

Two identical tuning forks vibrate at 587 Hz.After a small piece of clay is placed on one of them, eight beats per second are heard.What is the period of the tuning fork that holds the clay?

17-1 Consider the figures depicting rectangular pulses on a string. -If pulse 1 were reflected from a wall, which one of the patterns above would represent the reflected pulse?

Four standing wave segments, or loops, are observed on a string fixed at both ends as it vibrates at a frequency of 240 Hz.What is the fundamental frequency of the string?

A speaker generates a continuous tone of 440 Hz.In the drawing, sound travels into a tube that splits into two segments, one longer than the other.The sound waves recombine before being detected by a microphone.The speed of sound in air is 339 m/s.What is the minimum difference in the lengths of the two paths for sound travel if the waves arrive exactly out of phase at the microphone?

The beat period occurring when two tuning forks are vibrating is 0.333 s.One of the forks is known to vibrate at 588.0 Hz.What are the possible vibration frequencies of the second tuning fork?

17-3 Vibrations with frequency 6.00 × 10² Hz are established on a 1.33-m length of string that is clamped at both ends.The speed of waves on the string is 4.00 × 10² m/s. -How far from either end of the string does the first node occur?

Which one of the following superpositions will result in beats?

A certain string, clamped at both ends, vibrates in seven segments at a frequency of 2.40 × 10² Hz.What frequency will cause it to vibrate in four segments?

How many antinodes will be found on the 112 Hz resonance?

When plucked, a 0.62-m guitar string produces a sound wave with a fundamental frequency of 196 Hz.The speed of sound in air is 343 m/s.Determine the ratio of the wavelength of the sound wave to the wavelength of the waves that travel on the string.

17-6 The figures show standing waves of sound in six organ pipes of the same length.Each pipe has one end open and the other end closed.Note: some of the figures show situations that are not possible. -Which one of the pipes emits sound with the highest frequency?

17-6 The figures show standing waves of sound in six organ pipes of the same length.Each pipe has one end open and the other end closed.Note: some of the figures show situations that are not possible. -Which of the figures do not illustrate possible resonant situations?

A 4.00-m long string, clamped at both ends, vibrates at 2.00 × 10² Hz.If the string resonates in six segments, what is the speed of transverse waves on the string?

For a diffraction horn loudspeaker, sound emerges through a rectangular opening.The opening of a diffraction horn has a width of 0.12 m.If the speaker emits a continuous tone with a wavelength of 0.09 m, at what angle does the first minimum occur?

Which one of the following statements is true concerning the points on a string that sustain a standing wave pattern?

A speaker is designed for wide dispersion for a high frequency sound.What should the diameter of the circular opening be for a speaker where the desired diffraction angle is 11° and a 9100 Hz sound is generated? The speed of sound is 343 m/s.

Two timpani (tunable drums) are played at the same time.One is correctly tuned so that when it is struck, sound is produced that has a wavelength of 2.20 m.The second produces sound with a wavelength of 2.10 m.If the speed of sound is 343 m/s, what beat frequency is heard?

Two loudspeakers, A and B, are separated by a distance of 2.0 m.The speakers emit sound waves at a frequency of 680 Hz that are exactly out of phase.The speed of sound is 343 m/s.How far from speaker A along the +x axis will a point of constructive interference occur?

Sound waves are emitted from two speakers.Which one of the following statements about sound wave interference is false?

Determine the shortest length of pipe, open at both ends, which will resonate at 256 Hz.The speed of sound is 343 m/s.