A wave completes 24 cycles in 0.8 s. The frequency of the wave is

Options

A. 30 Hz
B. 8 Hz
C. 24 Hz
D. 12 Hz

Explanation

To find the frequency of the wave, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Frequency**:
Frequency (f) is defined as the number of cycles (n) completed in one second. The formula for frequency is:
\[ f = \frac{n}{t} \]
where \( n \) is the number of cycles and \( t \) is the time in seconds.

2. **Identify the Given Values**:
From the problem, we know:
- Number of cycles (n) = 24 cycles
- Time (t) = 0.8 seconds

3. **Substitute the Values into the Formula**:
Now, we can substitute the values into the frequency formula:
\[ f = \frac{24 \text{ cycles}}{0.8 \text{ seconds}} \]

4. **Calculate the Frequency**:
To perform the calculation:
\[ f = \frac{24}{0.8} \]
To simplify this, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ f = \frac{240}{8} \]
Now, divide 240 by 8:
\[ f = 30 \text{ cycles per second} \]

5. **Convert to Hertz**:
Since frequency is often expressed in Hertz (Hz), we can state that:
\[ f = 30 \text{ Hz} \]

### Final Answer:
The frequency of the wave is **30 Hz**.

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