AP EAMCET · PHYSICS · Mechanical Properties of Fluids
If a vessel containing a fluid of density \(\rho\) upto height \(h\) is accelerated vertically downwards with acceleration \(a_0\). Then, the pressure by fluid at the bottom of vessel is given by the equation ........ ( \(p_0\) denotes the atmospheric pressure and \(g\) denotes the acceleration due to gravity).
- A \(p=p_0+\rho g h+\rho h a_0\)
- B \(p=p_0+\rho g h\)
- C \(p=p_0+\rho h\left(g-a_0\right)\)
- D \(p=p_0-\rho g h\)
Answer & Solution
Correct Answer
(C) \(p=p_0+\rho h\left(g-a_0\right)\)
Step-by-step Solution
Detailed explanation
When a vessel containing a fluid of density \(\rho\) upto height \(h\) is accelerated downwards with acceleration \(a_0\), then net gravitational acceleration acting on the fluid \(g^{\prime}=g-a_0\) ...(i) Hence, the pressure by the fluid at the bottom of vessel is given as…
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