What is the unit of frequency ?

Options

A. hertz
B. `"second"^(-1)`
C. `min^(-1)`
D. All of these

Answer

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

### Step 1: Define Frequency
Frequency is defined as the number of cycles (or occurrences) of a repeating event per unit time.

### Step 2: Identify the Unit of Time
The unit of time can be expressed in various forms, but the most common unit used in physics is the second (s).

### Step 3: Express Frequency in Terms of Time
Since frequency is the number of cycles per unit time, we can express it mathematically as:
\[ \text{Frequency} = \frac{\text{Number of cycles}}{\text{Time}} \]

### Step 4: Determine the Unit of Frequency
If we take the unit of time as seconds, then the unit of frequency becomes:
\[ \text{Frequency} = \frac{\text{cycles}}{\text{seconds}} = \text{s}^{-1} \]
This is also referred to as Hertz (Hz).

### Step 5: Consider Other Units of Time
Frequency can also be expressed using other units of time, such as minutes. For example, if we consider frequency in cycles per minute, it would be:
\[ \text{Frequency} = \frac{\text{cycles}}{\text{minutes}} \]
However, the standard unit remains Hertz (Hz), which is equivalent to cycles per second.

### Final Answer
The unit of frequency is Hertz (Hz), which is equivalent to cycles per second (s⁻¹). It can also be expressed in other units like cycles per minute.

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