To determine the weight of a solid body lighter than water, a sinker is used. The solid body of density $0.5 g {c m}^{- 3}$ is tied to the sinker of the volume ${50 c m}^{3}$ and the combination is immersed into the water. If the volume of water displaced is ${80 c m}^{3}$ , find the weight of the body

120 gwt

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60 gwt

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30 gwt

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15 gwt

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Solution

The correct option is D 15 gwt
Volume of water displaced = ${80 c m}^{3}$
Volume of sinker = ${50 c m}^{3}$
Volume of block = ${30 c m}^{3}$
So mass of block = $0.5 g / c c \times 30 c c$
mass = $15 g m$
weight = $15 g w t$

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To determine the weight of a solid body lighter than water, a sinker is used. The solid body of density 0.5g cm−3 is tied to the sinker of the volume 50cm3 and the combination is immersed into the water. If the volume of water displaced is 80cm3, find the weight of the body

The correct option is D 15 gwtVolume of water displaced = 80cm3Volume of sinker = 50cm3Volume of block = 30cm3So mass of block = 0.5g/cc×30cc mass = 15gm weight = 15gwt

The correct option is D 15 gwt
Volume of water displaced = ${80 c m}^{3}$
Volume of sinker = ${50 c m}^{3}$
Volume of block = ${30 c m}^{3}$
So mass of block = $0.5 g / c c \times 30 c c$
mass = $15 g m$
weight = $15 g w t$