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TS EAMCET · Physics · Mechanical Properties of Fluids

A vessel having small hole in the bottom has to hold water without leakage, if water is poured to a height of 7 \(\mathrm{cm}\). Then the radius of the hole is [surface tension of water is \(0.07 \mathrm{Nm}^{-1}\), angle of contact is \(0^{\circ}\) and \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) ]

  1. A \(1 \mathrm{~mm}\)
  2. B \(2 \mathrm{~mm}\)
  3. C \(4 \mathrm{~mm}\)
  4. D \(0.2 \mathrm{~mm}\)
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Answer & Solution

Correct Answer

(D) \(0.2 \mathrm{~mm}\)

Step-by-step Solution

Detailed explanation

Height of water, \(\mathrm{h}=7 \mathrm{~cm}=0.07 \mathrm{~m}\) Surface tension of water, \(T=0.07 \mathrm{~N} / \mathrm{m}\) \[ \mathrm{T}=\frac{\mathrm{rh} \rho \mathrm{g}}{2} \] The radius of hole, \(r=\frac{2 \tau}{h \rho g}\)…
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