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What happens to the pressure exerted by a fluid when the depth increases?2 marksIt decreasesIt remains the sameIt increasesIt depends on the type of fluid

Question

What happens to the pressure exerted by a fluid when the depth increases?

  • It decreases
  • It remains the same
  • It increases
  • It depends on the type of fluid
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Solution

Answer

When the depth of a fluid increases, the pressure exerted by that fluid also increases. This is due to the weight of the fluid above the point at which the pressure is being measured. According to the hydrostatic pressure equation, the pressure at a certain depth in a fluid is given by:

P=P0+ρgh P = P_0 + \rho g h

Where:

  • P P = pressure at depth
  • P0 P_0 = atmospheric pressure above the fluid (if considering open fluids)
  • ρ \rho = density of the fluid
  • g g = acceleration due to gravity
  • h h = depth in the fluid

As depth h h increases, the term ρgh \rho g h increases, which means that overall pressure P P also increases. Therefore, the correct choice is:

It increases.

This problem has been solved

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