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, 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.