KCET · Physics · Mechanical Properties of Fluids
Three liquids of equal masses are taken in three identical cubical vessels A, B and C. Their densities are \(\rho_{\mathrm{A}}, \rho_{\mathrm{B}}\) and \(\rho_{\mathrm{C}}\) respectively but \(\rho_{A} < \rho_{B} < \rho_{C}\). The force exerted by the liquid on the base of the cubical vessel is
- A maximum in vessel C
- B minimum in vessel C
- C the same in all the vessels
- D maximum in vessel \(A\)
Answer & Solution
Correct Answer
(C) the same in all the vessels
Step-by-step Solution
Detailed explanation
Force exerted by the liquid on the base of the vessel is \(\mathrm{F}=\mathrm{mg}\)
Here, \(\mathrm{m}_{\mathrm{A}}=\mathrm{m}_{\mathrm{B}}=\mathrm{m}_{\mathrm{C}} \quad \therefore \mathrm{F}_{\mathrm{A}}=\mathrm{F}_{\mathrm{B}}=\mathrm{F}_{\mathrm{C}}\)
Here, \(\mathrm{m}_{\mathrm{A}}=\mathrm{m}_{\mathrm{B}}=\mathrm{m}_{\mathrm{C}} \quad \therefore \mathrm{F}_{\mathrm{A}}=\mathrm{F}_{\mathrm{B}}=\mathrm{F}_{\mathrm{C}}\)
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