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Thermodynamics

Question
CBSEENPH11026124

A raft of wood of mass 120 kg floats in water. The weight that can be put on the raft to make it just sink, should be (d raft = 600 kg/m3)

  • 80 kg

  • 50 kg

  • 60 kg

  • 30 kg

Solution

A.

80 kg

Volume of the raft is given by

V =md= 120600 =0.2m3If the raft is immersed fully in water. Then weight of water displaced is= V dwater=0.2×103 =200 kgHence the additional weight which is supported by raft : 200 kg - 120 kg = 80 kg

If the weight of the object is more than this it will sink.