You have a bag of cotton and an iron bar, each indicating a mass of 100 kg when measured on a weighing machine. In reality, one is heavier than other. Can you say which one is heavier and why?

Answer

We know that Density of cotton is less than Density of iron.

And Density = Mass/Volume

So, that means Volume of 100 kg Cotton is much more than volume of 100 kg iron

 

Now, the air also applies a force in the upward direction due to buoyancy (gases also exert buoyant force)

Since cotton has larger volume, the upward buoyant force (upthrust) on cotton is much more than that of iron.

Hence, weighing machine will show much less mass of cotton than it actually is.

Therefore, 100 kg cotton is more heavier than 100 kg iron

 

  1. Class 9
  2. Chapter 10 Class 9 - Gravitation

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.