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Question

a ball weighing 4 kg of density 4000 kg/ m3 is completely immersed in water of density 103 kg / m3.what is the force of buoyancy on it ( 10m/s2)

calculate the no. of molecules in 56g of nitrogen

If the relative density of mercury is 13.6. what's its density in si unitt

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Solution

Given:

Volume of the ball immersed = 4/4000 = 0.001 m3 and density of water, d = 103 kg / m3.

(1)Suppose a body of volume ‘V’ is immersed in a fluid of density ‘d’. Since, it is immersed fully the volume of fluid displaced is also equal to V. Then

The buoyant force on the body is, FB = Vdg, ‘g’ is acceleration due to gravity.

Substitute the values we can get the desired answer.
(2)
Given mass = 56 g

Number of atoms can be calculated by using:

  • Number of atoms = Moles * Avogadro's number

Number of moles = Given mass / molar mass

(3) If the relative density of mercury is 13.6

The relative density of a substance is the ratio of its density to that of water .

Relative density = Density of a substance / Density of water

So here in this case, Density of a mercury = 13.6 (Density of water)


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