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The discharge rate is independent of the height difference and dependent only on the height.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?
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The discharge rate is independent of the height difference and depende...
Explanation: The discharge rate is dependent of the height difference and dependent only on the height.
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The discharge rate is independent of the height difference and depende...
Explanation:

Dependence of Discharge Rate on Height Difference:
- The discharge rate is not independent of the height difference. In fact, the discharge rate is directly proportional to the square root of the height difference between the water source and the point of discharge.
- This relationship is defined by the Torricelli's theorem, which states that the velocity of fluid flowing out of an orifice is equal to the square root of 2 times the acceleration due to gravity times the height difference.

Dependence of Discharge Rate on Height:
- The discharge rate is indeed dependent on the height of the water source.
- The higher the height of the water source, the greater the potential energy available to drive the flow of water, resulting in a higher discharge rate.
- This is why water towers are often built at elevated locations to provide sufficient pressure for the distribution of water to lower-lying areas.

Conclusion:
- In conclusion, the discharge rate is not independent of the height difference, as it plays a crucial role in determining the velocity and flow rate of water. The height of the water source also directly impacts the discharge rate by providing the necessary energy for the movement of water.
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