Concept: Tsunami waves behave differently in deep ocean and near the coast. In deep ocean, they travel very fast with very long wavelength and very small height.
Step 1: Understanding tsunami behaviour in deep ocean.
In the deep ocean, tsunami waves are not very high. Their amplitude is very low, so ships may not even notice them.
\[
\text{Deep ocean tsunami} \Rightarrow \text{Very long wavelength + Very low amplitude}
\]
Step 2: Understanding wavelength and amplitude.
Wavelength means the distance between two consecutive crests.
Amplitude means the height of the wave from the mean water level.
Step 3: Why tsunami becomes dangerous near coast.
When a tsunami enters shallow water near the coast, its speed decreases and wave height increases. This process is called shoaling.
\[
\text{Near coast} \Rightarrow \text{Speed decreases and height increases}
\]
Therefore, in deep ocean, tsunamis have very long wavelength and very low amplitude.