A multimode graded index fibre exhibits total pulse broadening of 0.1 us cover a distance of 1.5km. What is the maximum possible band width on the link assuming no inter symbol interference?

Options

A. 10MHz
B. 7.5M Hz
C. 5MHz
D. 2.5MHz

Explanation

To solve the problem of finding the maximum possible bandwidth on a multimode graded index fiber given the total pulse broadening, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Total pulse broadening (Δt) = 0.1 µs = 0.1 × 10^(-6) s
- Distance covered = 1.5 km (not directly needed for this calculation)

2. **Understand the Relationship Between Bandwidth and Pulse Broadening:**
- The maximum possible bandwidth (B) can be calculated using the formula:
\[ B = \frac{1}{2 \Delta t} \]
- Here, Δt is the pulse broadening time.

3. **Substitute the Values into the Formula:**
- Substitute Δt = 0.1 × 10^(-6) s into the formula:
\[ B = \frac{1}{2 \times (0.1 \times 10^{-6})} \]

4. **Calculate the Bandwidth:**
- First, calculate the denominator:
\[ 2 \times (0.1 \times 10^{-6}) = 0.2 \times 10^{-6} = 2 \times 10^{-7} \text{ seconds} \]
- Now, calculate the bandwidth:
\[ B = \frac{1}{2 \times 10^{-7}} = 5 \times 10^{6} \text{ Hz} = 5 \text{ MHz} \]

5. **Conclusion:**
- The maximum possible bandwidth on the link is **5 MHz**.

### Final Answer:
The maximum possible bandwidth on the link is **5 MHz**.

---