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Question

Physics Question on mechanical properties of fluid

Two vessels A and B of cross-section as shown in figure contain a liquid upto the same height. As the temperature rises, the liquid pressure at the bottom (neglecting expansion of the vessels) will:

A

B

increase in A, decrease in B

C

decrease in both A and B

D

increase in both A and B

Answer

increase in A, decrease in B

Explanation

Solution

P=hgρ,P=hg\rho , when temperature rises density decreases. The rise of height increases, to keep same pressure where the cross-sectional area of A is smaller at the top. Therefore, the rise of height is more in A than B.