Plz answer 8 An open-ended wide tube is immersed vertically in mercury in such a way that a - Physics - Motion In A Straight Line

Question

Plz answer

8 An open-ended wide tube is immersed vertically in mercury in such
a way that a length 0 05 m extends above the mercury level The open
end of the tube is then closed and the tube is raised further by 0
43 m If the length of the air column above the mercury level in the
tube x 9in cm) find x/2

Sandeep Kumar · Accepted Answer

DEar Student
let the first condition that glass tube immeresed in the mercuryintial pressure of the enclosed air,P1=Atmospheric pressure =76 cm (Hg)cross sectional area=AVolume of the enclosed air V1=L1×A=5AIn the second case closed glass tube raised by the 43 cmlet us consider x=length of air collomn above the mercurytotal length=5+43=48 cmlength of mercury in the glass tube=48-xpressure of the enclosed air P2=Atm pressure-(52-x)=76-(48-x)=28+xVolume of the enclosed air V2=xAlet P1V1=P2V276×5A=(28+x)×(xA)380=28x+x2x2+28x-380=0(x+38)(x-10)=0x=-38x=10Negative value will be neglectedso x=10 cm
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