Harmonic Frequencies: A Creative Approach to Physics

How can we calculate the fourth harmonic frequency of a standing wave with a fundamental frequency of 175 Hz?

Options:

A. 600 Hz

B. 900 Hz

C. 800 Hz

D. 700 Hz

Answer:

The fourth harmonic frequency of a standing wave with a fundamental frequency of 175 Hz is 700 Hz.

In Physics, harmonics are essential in understanding wave phenomena, particularly in the context of sound waves. Harmonics, or overtones, are multiples of the fundamental frequency of a wave.

When dealing with standing waves, the harmonic frequencies can be calculated by multiplying the fundamental frequency by the harmonic number. For example, if the fundamental frequency of a standing wave is 175 Hz, the second harmonic would be 350 Hz, the third harmonic would be 525 Hz, and so on.

For the specific calculation of the fourth harmonic frequency for a standing wave with a fundamental frequency of 175 Hz, we simply multiply 175 Hz by 4, resulting in 700 Hz.

Therefore, the correct answer to the question is that the fourth harmonic frequency of a standing wave with a fundamental frequency of 175 Hz is indeed 700 Hz.