No, it is related to beats. Write the expression for the addition of two sine waves. What trigonometric formulae do you know that look relevant?erisedk said:Homework Statement
When two sound sources of the same amplitude but of slightly different frequencies n1 and n2 are sounded simultaneously, the sound one hears has a frequency equal to
Ans: (n1+n2)/2
Homework Equations
The Attempt at a Solution
I have virtually no clue how that's the answer. I thought maybe the problem was related to beats, but it's clearly not. Beyond this, I just don't know at all.
Not exactly. Your equations are not quite right. The two waves being added should have the same speed.erisedk said:Got it! Asin(2πn1t-kx) + Asin(2πn2t-kx) = 2Asin(πn1t+πn2t2-kx)cos(πn1t-πn2t), which will have the frequency (n1+n2)/2
As for cos(πn1t-πn2t), is it something like variable amplitude term in standing wave equations? Cos it doesn't have any traveling component.
Oh yeah, v=w/k, and so we can adjust the k's accordingly, which makes the frequency term look like this: sin(πn1t+πn2t2-(k1-k2)/2x).haruspex said:Not exactly. Your equations are not quite right. The two waves being added should have the same speed.
Frequency is the number of occurrences of a repeating event per unit of time. In science, it is often measured in Hertz (Hz), which represents the number of cycles per second.
Frequency and wavelength are inversely proportional to each other. This means that as frequency increases, wavelength decreases, and vice versa. This relationship is described by the equation f = c/λ, where f is frequency, c is the speed of light, and λ is wavelength.
Frequency refers to the number of cycles per unit of time, while amplitude refers to the height or strength of a wave. In other words, frequency determines how often a wave occurs, while amplitude determines the intensity or energy of the wave.
Frequency is typically measured using specialized equipment such as an oscilloscope or frequency counter. These devices can detect and measure the number of cycles of a repeating waveform within a specific time interval.
Some common examples of frequency in everyday life include the frequency of a sound wave (which determines pitch), the frequency of an alternating current in a circuit, and the frequency of a radio or TV signal. It can also refer to the rate of occurrence of events, such as the frequency of earthquakes or the frequency of a person's heart rate.