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The one-way propagation delay for a single bit of information (travelling at the speed of light i.e., 3×1083 \times 10^83×108​ meters per second)
Question

The one-way propagation delay for a single bit of information (travelling at the speed of light i.e., 3×1083 \times 10^8​ meters per second) over a fiber optic cable from point A to point B, 12000 kilometers apart would be:

A.

20 ms

B.

5 ms

C.

50 ms

D.

40 ms

Correct option is D

The one-way propagation delay is the time required for a bit to travel from point A to point B. We use:
Propagation Delay=DistancePropagation Speed\text{Propagation Delay}=\frac{\text{Distance}}{\text{Propagation Speed}}​​
Step 1: Convert distance into meters
Given:
12000 km
Since:
1 km = 1000 m
Therefore:
12000×1000=12,000,000 m=1.2×107 m12000\times1000=12,000,000\text{ m}\\=1.2\times10^7\text{ m}​​
Step 2: Calculate the delay
Speed of light:
3×108 m/s3\times10^8\text{ m/s}​​
Therefore:
T=1.2×1073×108T=\frac{1.2\times10^7}{3\times10^8}​​
T=0.4×101T=0.4\times10^{-1}​​
T = 0.04 s
Step 3: Convert seconds to milliseconds
1 s = 1000 ms
Therefore:
0.04×1000=40 ms0.04\times1000=40\text{ ms}​​
Hence:
Propagation Delay = 40 ms
Information Booster
1. Propagation delay is:
Tp=dv\boxed{T_p=\frac{d}{v}}​​
2. Distance:
12000 km=1.2×107 m12000\text{ km}=1.2\times10^7\text{ m}​​
3. Speed:
v=3×108 m/sv=3\times10^8\text{ m/s}​​
4. Thus:
Tp=0.04 s=40 msT_p=0.04\text{ s}=40\text{ ms}​​
5. This is one-way propagation delay. A round-trip delay would be:
2×40=80 ms2\times40=80\text{ ms}​​

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