List of top Fluid Mechanics and Marine Hydrodynamics Questions on Wave Motion asked in GATE NM

An ocean wave is propagating from deep to shallow water. The wave is approaching the coast at \( 45^\circ \) counterclockwise from the shore normal with an initial phase speed of \( 12.5 \, {m/s} \). After entering the shallow water, the wave direction becomes \( 30^\circ \) counterclockwise from the shore normal. The phase speed of the wave at the shallow water is ________ m/s (rounded off to one decimal place).
An ocean wave is propagating from deep to shallow water. The wave is approaching the coast at \( 45^\circ \) counterclockwise from the shore normal with an initial phase speed of \( 12.5 \, {m/s} \). After entering the shallow water, the wave direction becomes \( 30^\circ \) counterclockwise from the shore normal. The phase speed of the wave at the shallow water is ________ m/s (rounded off to one decimal place).
Choose the correct statement(s) from the following with respect to a ship-generated Kelvin wave pattern in deep water.
According to linear water wave theory, at a point on the free surface of a regular wave, the phase difference between the free surface elevation and the horizontal water particle acceleration is ________.
Which one of the following wave energy spectra is formulated for two peaks?