1. The problem asks to find the least frequency, which typically refers to the smallest positive frequency in a given context, such as wave motion or signal processing.
2. Frequency ($f$) is related to the period ($T$) by the formula:
$$f = \frac{1}{T}$$
where $T$ is the time period of one complete cycle.
3. To find the least frequency, we need the largest period $T$ because frequency and period are inversely proportional.
4. If the problem provides specific data or context (like harmonics, wave speeds, or lengths), use that to find $T$.
5. Without additional data, the least frequency is the smallest positive value of $f$ that satisfies the system or context.
6. For example, if the fundamental frequency is $f_1$, then the least frequency is $f_1$ itself.
7. Therefore, the least frequency is the fundamental frequency, which is the lowest frequency of vibration or oscillation.
Final answer: The least frequency is the fundamental frequency $f_1 = \frac{1}{T_{max}}$ where $T_{max}$ is the maximum period.
Least Frequency 815Efc
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.