A) As a wind instrument warms up, the resonant frequencies of the instrument tend to slightly decrease.
B) If the air in a concert hall warms up, the resonant frequencies of the string instruments will change precisely the same as the resonant frequencies of the wind instruments.
C) If you pluck a string one third of the way along its length, you tend to suppress the third harmonic (n=3).
D) If the slide of a trombone is pushed outwards (making the effective tube length longer), all the resonant frequencies of the instrument increase.
I thought the answer was TTFF, but it was wrong. Any idea?
speed sound decreases when air is warmed. If speed goes up, frequency decreases A)T
B. strings slightly expand, reducing tension, so f goes down,but not at the same rate, F
C. T. The third homonic would a node at that position, you are forcing a vibration there.
D. length longer, wavelength longer, Freq decrease. F
Check my thinking.
Its actually FFTF, thanks for the help
To determine the correct answer, let's go through each statement one by one:
A) As a wind instrument warms up, the resonant frequencies of the instrument tend to slightly decrease.
To confirm this statement, we need to understand how temperature affects the resonant frequencies of wind instruments. To do so, we can recall that sound travels through air as a wave, and the speed of sound is affected by temperature. When the temperature increases, the speed of sound also increases, leading to a decrease in the resonant frequencies of the instrument. Therefore, statement A is correct.
B) If the air in a concert hall warms up, the resonant frequencies of the string instruments will change precisely the same as the resonant frequencies of the wind instruments.
To verify this statement, we need to understand how temperature affects the resonant frequencies of string instruments. Unlike wind instruments, the resonant frequencies of strings are primarily determined by their tension, length, and mass per unit length. Therefore, the air temperature inside the concert hall doesn't directly impact the resonant frequencies of string instruments. Hence, statement B is incorrect.
C) If you pluck a string one third of the way along its length, you tend to suppress the third harmonic (n=3).
To analyze this statement, we need to recall the relationship between plucking a string at different positions and the harmonics that are produced. When a string is plucked, it vibrates at multiple frequencies simultaneously, creating harmonics. These harmonics are integer multiples of the fundamental frequency (n=1). By plucking a string one third of the way along its length, you are essentially damping the vibrations that would produce the third harmonic (n=3). As a result, statement C is correct.
D) If the slide of a trombone is pushed outwards (making the effective tube length longer), all the resonant frequencies of the instrument increase.
To verify this statement, we need to understand how changing the length of the trombone's effective tube affects its resonant frequencies. Trombones utilize a slide to change the length of the tube, allowing for different pitches to be played. When the slide is pushed outwards, increasing the effective length of the tube, the resonant frequencies of the instrument do indeed increase. This is because the longer tube allows for longer wavelengths and hence lower frequencies to be produced. Therefore, statement D is correct.
Considering the analysis above, the correct answer would be TFTT.