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Gravitation — Question 22

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Question 22

The volume of a 500 g sealed packet is 350 cm3. Will the packet float or sink in water if the density of water is 1 g cm-3? What will be the mass of the water displaced by this packet?

Answer

Given,

Volume of sealed packet = 350 cm3

Mass of sealed packet = 500 g

Density of water = 1 gcm-3

Density of the sealed packet = ?

Density = MassVolume\dfrac{\text{Mass}}{\text{Volume}} = 500350\dfrac{500}{350} = 1.42 gcm-3

As density of the packet is greater than density of water. Hence, the sealed packet will sink.

According to Archimedes Principle,

Displaced water volume = Volume of packet

Volume of water displaced = 350 cm3

Mass of water displaced = ρ x V = 1 × 350 = 350 g

Hence, mass of displaced water = 350 g

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Science | Chapter 9: GravitationWeb Content — Quick Reference

Chapter 9: Gravitation — Quick Reference

universal law gravity mass weight pressure buoyancy Archimedes principle relative density

Quick Revision Points

  • F = Gm₁m₂/r² (G = 6.674 × 10⁻¹¹ N·m²/kg²)
  • g = GM/R² = 9.8 m/s² (Earth); g on Moon ≈ g/6
  • Mass (kg, constant) vs Weight (N = mg, varies with location)
  • Pressure P = F/A (Pa = N/m²); Fluid pressure P = hρg
  • Archimedes: buoyant force = weight of displaced fluid
  • Float if density < fluid density; Sink if density > fluid density
  • Relative density = density of substance / density of water (no unit)
Exam Tips for Chapter 9
  • Read the detailed chapter notes for complete coverage of all NCERT topics.
  • Practice all NCERT in-text and back exercise questions — they are frequently asked in exams.
  • Focus on comparison tables, diagrams, and definitions — these are high-scoring areas.
  • For numericals (if applicable), practice at least 20 problems of varying difficulty.
  • Refer to the practice question bank (200+ questions) for thorough preparation.
Related Resources
  • Detailed Notes: ch09-gravitation.html
  • Practice Questions: 100+ questions with answers in 05-practice-questions/
  • Chapter Test: 30-mark test paper in 06-tests/chapter-tests-30marks/
  • Formula Sheet: Complete formula reference in 03-teacher-aid/formula-sheet.html