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TS EAMCET · Physics · Mechanical Properties of Fluids

A cylinder of mass and material density \(\rho\) hanging from a string is lowered into a vessel of cross-sectional area A containing a liquid of density \(\sigma( < \rho)\) until it is fully immersed. The increase in pressure at the bottom of the vessel is

  1. A Zero
  2. B \(\frac{\mathrm{mg}}{\mathrm{A}}\)
  3. C \(\frac{m g \rho}{\sigma \mathrm{A}}\)
  4. D \(\frac{\mathrm{m} \sigma \mathrm{g}}{\rho \mathrm{A}}\)
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Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{m} \sigma \mathrm{g}}{\rho \mathrm{A}}\)

Step-by-step Solution

Detailed explanation

From newton third law, excess force acting on the liquid is equal to force of buoyancy acting on the cylinder. The increase in pressure…
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