The speed of the ripples generated by a round marble and a golf ball in a quiet pond would not be the same. The speed of the ripples depends on various factors, including the properties of the medium (in this case, water) and the disturbance causing the waves.
In the case of water waves, the speed of the ripple depends on:
Tension: The surface tension of the water plays a role in determining the speed of the ripples. Higher surface tension tends to increase the speed of the waves.
Depth: The depth of the water affects the speed of the waves. In general, deeper water results in faster waves.
Density: The density of the water influences the wave speed. Higher density generally leads to slower waves.
Gravity: Gravity also plays a part in wave propagation. Gravity can cause the waves to speed up or slow down, depending on the direction of the gravitational force relative to the wave motion.
Shape and size of the disturbance: The shape and size of the object causing the disturbance (such as the round marble or golf ball) can affect the speed of the ripples. The shape and size impact how the energy is transferred to the water, which, in turn, affects the speed of the resulting waves.
Therefore, the speed of the ripples created by the round marble and the golf ball in the pond may differ due to the differences in their shapes, sizes, and how they interact with the water.