A piston of mass M $$=$$ $$3kg$$ and radius R $$=$$ $$4cm$$ has a hole into which a thin pipe of radius $$1$$ cm is inserted. The piston can enter the cylinder tightly and without friction and initially it is at the bottom of the cylinder. $$750$$ gram of water is now poured into the pipe so that the piston and pipe are lifted up as shown. The height H of water in the cylinder is (Density$$ of water is $$103$$ $$kg/m3)

Question

Infinity Learn · Accepted Answer

(h$$ρ$$g)(A1$$ – $$A2) $$=$$ Mgh ×$$103$$ ×π[$$(4$$ × $$10-2)2$$ – $$(1$$ × $$10-2)2$$] $$=$$ $$3$$ h×$$103$$×π$$15$$×$$10-4=3$$ $$h=2$$π[π$$r12H+$$π$$r22h$$]ρ$$g=mg$$ [π$$4$$×$$10-2$$ $$2H+$$π$$1$$×$$10-2$$ $$22$$π]$$1000=0.75$$                                           $$H=1132$$$$π$$m

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