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Q.

A thin walled cylindrical metal vessel α=10−3K−1 contains a liquid γr=10−3K−1. If the vessel and its contents are now heated by 10 K the pressure due to the liquid at the bottom

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a

increases by 2 %

b

decreases by 1 %

c

remains unchanged

d

decreases by 2%

answer is D.

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Detailed Solution

The density of liquid at the elevated temperature ' ρ=ρ01+3α-γr△t. Now hydrostatic pressure p=ρgh and since ρ decreases ,p also decreases. Percentage change in pressure =p0-pp0×100%=2%,
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