If the highest modulating frequency of the wave is 5 kHz, the number of stations that can be accomodated in a 150 kHz bandwidth ?

Options

A. 15
B. 10
C. 5
D. None of these

Explanation

To solve the problem of how many stations can be accommodated in a 150 kHz bandwidth with a highest modulating frequency of 5 kHz, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Highest Modulating Frequency**:
- The highest modulating frequency (fm) is given as 5 kHz.

2. **Calculate the Bandwidth Required per Station**:
- The bandwidth required for each station can be calculated using the formula:
\[ \text{Bandwidth per station} = 2 \times \text{fm} \]
- Substituting the value of fm:
\[ \text{Bandwidth per station} = 2 \times 5 \text{ kHz} = 10 \text{ kHz} \]

3. **Determine the Total Bandwidth Available**:
- The total bandwidth available is given as 150 kHz.

4. **Calculate the Number of Stations**:
- The number of stations that can be accommodated is calculated by dividing the total bandwidth by the bandwidth required per station:
\[ \text{Number of stations} = \frac{\text{Total bandwidth}}{\text{Bandwidth per station}} = \frac{150 \text{ kHz}}{10 \text{ kHz}} = 15 \]

5. **Conclusion**:
- Therefore, the number of stations that can be accommodated in a 150 kHz bandwidth is 15.

### Final Answer:
The number of stations that can be accommodated is **15**.