If the speed of efflux through a small hole in a large tank is 9.8 m/s. Find the height at the fluid above the hole:
Correct answer: C. 4.9 m
- A. 1 m
- B. 9.8 m
- C. 4.9 m
- D. 19.6 m
Explanation
The speed of efflux through a small hole in a large tank is given by the Torricelli's Law, which is given as:v = √(2gh)where v is the speed of efflux, g is the acceleration due to gravity, h is the height of the fluid above the hole.We are given that the speed of efflux through the hole is 9.8 m/s, which is equal to the acceleration due to gravity, i.e., v = g = 9.8 m/s².Substituting these values in the above equation, we get:9.8 = √(2gh)Squaring both sides of the equation, we get:96.04 = 2ghh = 96.04 / (2g)h = 96.04 / (2 x 9.8)h = 4.9 metersTherefore, the height of the fluid above the hole is 4.9 meters. Option C is the correct answer.
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