Physics 2003 JAMB Past Questions - Question 5: A hose of cross-sectional area 0.5m² is used to discharge water from a water tanker at a velocity of 60ms-¹ in 20s into a container. If the container is filled completely, the volume of the container is

Correct Answer

B

Explanation

To find the volume of the container that is filled, we can use the equation for flow rate:

Flow Rate (Q) = Area (A) × Velocity (V)

Where:
Q = Flow Rate (volume per unit time, in this case, volume per second)
A = Cross-sectional area of the hose
V = Velocity of the water

Given:
- Cross-sectional area (A) of the hose = 0.5 m²
- Velocity (V) of the water = 60 m/s
- Time (t) = 20 seconds

First, calculate the flow rate:

Q = A × V
Q = 0.5 m² × 60 m/s
Q = 30 m³/s

Now, to find the volume of the container, we need to multiply the flow rate (Q) by the time (t):

Volume = Flow Rate × Time
Volume = 30 m³/s × 20 s
Volume = 600 m³

So, the volume of the container that is completely filled is 600 cubic meters.