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JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Physics
Chapter
Mechanical Properties of Fluids

JIPMER 2005 · Physics · Mechanical Properties of Fluids

A raft of wood of mass 120 kg floats in water. The weight that can...

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 (draft =600kg/m3)\left(d_{\text{raft }}=600 \mathrm{ kg} / \mathrm{m}^3\right)

Options

  1. A80 kg
  2. B50 kg
  3. C60 kg
  4. D30 kg

Correct answer

A. 80 kg

Step-by-step solution

Volume of raft is given by V=md=120600=0.2V=\frac{m}{d}=\frac{120}{600}=0.2 m3\mathrm{~m}^3Iftheraftisimmersedfullyinwater.ThenweightofwaterdisplacedisIf the raft is immersed fully in water. Then weight of water displaced is=V d_{water \text{water }} =0.2 \times 10^3=200  kg\mathrm{~kg} Hence, the additional weight which is supported by raft =200 kg−120 kg=80=200 \mathrm{~kg}-120 \mathrm{~kg}=80 kg\mathrm{~kg}
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