If the velocity of an ideal fluid at the same height changes from v to 2v, the change in its kinetic-pressure term 1/2ρv² is

Options

  • A. It becomes half
  • B. It becomes twice
  • C. It becomes four times
  • D. It becomes eight times
  • E. It remains unchanged

Correct Answer (Detailed Explanation is Below)

C. It becomes four times

Detailed Explanation

The term 1/2ρv² is proportional to v². Replacing v by 2v gives 1/2ρ(2v)² = 4(1/2ρv²).