Final answer:
The question about water in a tank is incomplete, but the statement about a pebble creating a pulse wave in water is true. The assertion about vessel length affecting resistance and flow is false; longer vessels have higher resistance and lower flow. Flow rate calculations can be done with given diameters and velocities.
Step-by-step explanation:
The initial question about water flowing into a tank over a specified time interval lacks enough information to provide a comprehensive answer. The statement about pebbles and pulse waves can be confirmed as true; when a pebble is dropped in water, it creates a pulse wave - a single disturbance moving through a medium from one location to another. In contrast, the statement regarding vessel length and resistance is false; typically, the longer the vessel, the higher the resistance, which results in a lower flow rate.
Regarding the flow rate calculations, the provided velocities and diameters allow us to calculate the flow rate in both scenarios. The flow rate (Q) can be calculated using the formula Q = A * v, where A is the cross-sectional area of the hose, and v is the velocity of the water. Using the formula Q = π * (d/2)^2 * v, we find the flow rate in liters per second for the given hose diameter and velocity, and by applying the principle of conservation of mass - A1 * v1 = A2 * v2 - we can find the nozzle's inside diameter given the increased velocity.
Finally, the statement about fluid exchange in capillaries is true: typically, more fluid exits the capillary through filtration than re-enters through reabsorption over a day, contributing to the lymphatic system's function in fluid balance.