Please solve ques 6 b)

Please solve ques 6 b) (Density ofcopper = ye;mersed in water, it weights 113 3. 53 6. 8 Apiece efbrass (an alloy ofCu-Zn) weights 129 gm in air. Whe„ What is the mass ofcopper contained in the alloy ? (specific gravity e/ ure 8.9 and 7.1 respectively, A cylinder ofbrass, 6 cm high and 4 cm2 in cross-sectional area is suspended m water by means ofa string, upper surface is horizontal and 7 cm below the surface ofwater. The setup is placed in vacuum chamber. Determin force acring on the top of cylinder. force acting on the bottom of the cylinder. the buoyant force acting on the cylinder. A rectangular tank 5 m long and 2 m wide is filled with water to a depth of 3 m. Find the magnitude of resultant fluid on each face. (g = 10 m/s2) A hollow glass stopper just sinks in water. Compare the volume of cavity with that of the stopper. (specific grav glass = 2.5) A cubical block of steel ofdensity 7.8 g/ccfloats on mercury (density = 13.6 g!cc) with its sides vertical. Take the side cube as 10 cm. What length of the block is above the liquid • If water is poured on the mercury surface, what will be the height of water column, when the surface just covers the top of steel block ? Section 2 Self Study Course for IITJEE with Online Sup

Dear Student,

Let the height of the water column be 'h'.
In equilibrium condition: Weight of the iron block = Total upthrust
i.e, V d_irong = Upthrust of water + Upthrust of mercury
1000 × 7.2 × g = h × 100 × 1 × g + (10 - h) × 100 × 13.6 g
72 = h + 136 - 13.6 h
72 = 136 - 12.6 h
12.6 h = 136 - 72
12.6 h = 64
y = 5.08 cm

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