COMEDK · Physics · 11. Mechanical Properties of Fluids
A small hollow vessel which has a small circular hole of radius r in its base, is immersed in a tank of oil of density \(\rho\) and surface tension T. The oil will penetrate into the vessel at a depth of
- A \(\dfrac{T}{r\rho g}\)
- B \(\dfrac{2}{r\rho g T}\)
- C \(\dfrac{4T}{r\rho g}\)
- D \(\dfrac{2T}{r\rho g}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{2T}{r\rho g}\)
Step-by-step Solution
Detailed explanation
Let the depth at which the oil penetrates the vessel be \(h\). The hydrostatic pressure exerted by the oil at depth \(h\) is given by \(P = h\rho g\). For the oil to enter the vessel through the small hole of radius \(r\), this hydrostatic pressure must overcome the excess…
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