Q. A barometer tube reads 75 cm of Hg. If tube is gradually inclined at an angle 30 ° with horizontal keeping the open  end in the mercury container , then find the length of mercury column in the barometer tube (1) 86. 7 cm (2) 150 cm (3) 75 cm (4) 92.5 cm Q.20 A metallic sphere weighing 3 kg in air is held by a string so as to be completely immersed in a liquid of relative density 0.8 . The relative density of metallic is 10 . The tension in the string is (1) 18 .7 N (2) 42.5 N (3) 32. 7 N (4) 27 .6 N

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20

Tension in string will be equal to apparent weight of sphere inside liquidWhen sphere is immersed in liquid then apparent weight of sphere will beWApparent=Mρρ-σgWhere ρ is density of metallic sphere and σ is density of liquidWApparent=M1-σρgT=WApparent=M1-σρg=31-0.81010=27.6N
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