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The pressure gauge shown in figure has a spring for which `k=60N//m` and the area of the piston is `0.50cm^(2)`. Its right end is connected to a closed container of gas at a gauge pressure of `30kPa`. How far will the spring be compressed if the region containing the spring is (a) in vacuum and (b) open to the atmosphere? Atmospheric pressure is `101kPa`. |
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Answer» Correct Answer - A::B::C (a) Force from left hand side =force from right hand side `:. Kx=DeltapA` `or, x=((Delta p)A)/k` `=((30+101)xx10^(3)xx0.5xx10^(-4))/(60)` `=0.109m or 10.9 cm` (b) `x=((Delta p)A)/(k)` `=(30xx10^(3)xx0.5xx10^(-4))/(60)` `=0.025m` or `2.5 cm`. |
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