Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C. The densities are p_A, p_B, p_c with p_A< p_B< p_C .
Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C. The densities are pA, pB, pc with pA< pB< pC .The force on the base will be
(a) maximum in vessel A
(b) maximum in vessel B
(c) maximum in vessel C
(d) equal in all the vessels.
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(d) equal in all the vessels.
EXPLANATION:
Let the mass of the liquids be m. The volumes of the liquids are m/ρₐ, m/ρᵦ, m/ρₑ. If the base areas of the identical vessels are a then the heights of the liquids in the vessels are m/aρₐ, m/aρᵦ, m/aρₑ. Hence the pressures at the bottom are ρₐgm/aρₐ, ρᵦgm/aρᵦ, ρₑgm/aρₑ ie, mg/a, mg/a, mg/a So equal hence (d).
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