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9-1.Fluid Mechanics
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In Guericke's experiment to show the effect of atmospheric pressure, two copper hemispheres were tightly fitted to each other to form a hollow sphere and the air from the sphere was pumped out to create vacuum inside. If the radius of each hemisphere is $R$ and the atmospheric pressure is $p$, then the minimum force required (when the two hemispheres are pulled apart by the same force) to separate the hemispheres is
A
$2 p \pi R^2$
B
$4 p \pi R^2$
C
$p \pi R^2$
D
$\frac{p}{2} \pi R^2$
(KVPY-2017)
Solution
(c)
In Guericke's experiment,
If pressure difference between outside and inside is $p$, then
$\frac{F}{A}=p \text { or } F=p A=p \pi R^2$
Standard 11
Physics
