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Standard IX

Physics

Archimedes' Principle

Leader has a ...

Question

Leader has a density than iron in both are denser than water is the buoyant force on a lead object is greater than or lesser than or equal to the buoyant force on an object of the same volume explain your answer giving the reason

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Solution

Buoyant force is given by the product of volume of the immersed body (or the volume of liquid displaced), density of the liquid and the acceleration due to gravity.

Now, when an iron object and a lead object of same volume are immersed in water, the volume of water displaced in both cases will be same. Thus, the buoyant force will be equal in both cases.

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Similar questions

Q. An object floats if the buoyant force exerted on it by the fluid is greater than its weight. State true or false.

Q. An object weighs

30 N

. It displaces a volume of water that weighs

25 N

.
(i) what is the buoyant force on the object?
(ii) will this object float or sink? Explain your answer.

Q. State whether given statement is True or False
Because the buoyant force acts in a direction opposite the force of gravity, the net force acting on an object submerged in a fluid, such as water, is smaller than the object's weight.

Q. Analyse the given statements and choose the correct option.
Statement I: The buoyant force of water on a submerged wooden cube is greater than the buoyant force of water on a steel cube of equal volume.
Statement II: The buoyant force on a body is equal to the weight of the liquid displaced by the body.

Select the correct alternative:

(a) The correct relation is

(i) Density = Mass $\times$ Volume

(ii) Mass = Density $\times$ Volume

(iii) Volume =Denstity $\times$ Mass

(iv) Density = Mass + Volume

(b) The relative density of alcohol is 0.8. Its density is

(i) 0.8 (ii) 800 kg $m^{-} 3$

(iii) 800 g $c m - 3$ (iv) 0.8 kg $m^{-} 3$

(i) 60.8 g (ii) 75 g

(iii) 48 g (iv) 0.013 g

(d) The density of aluminium is 2.7 g $c m^{-} 3$ and that of brass 8.4 g $c m^{-} 3$ . The correct statement is :

(i) Equal masses of aluminium and brass have equal volumes

(ii) The mass of a certain volume of brass is more than the mass of equal volume of aluminium

(iii) The volume of a certain mass of brass is more than the volume of equal mass of aluminium

(iv) Equal volumes of aluminium and brass have equal masses.

(e) A density bottle has a marking 25 mL on it. It means that :

(i) the mass of density bottle is 25g

(ii) the density bottle will store 25 mL of any liquid it

(iii) the density bottle store 25 mL.of water, but more volume of liquid denser than water.

(iv) the density bottle will store 25 mL of water but more volume of liquid lighter than water.

(f) The correct statement is :

(i) The buoyant force on a body is equal to the volume of the liquid displaced by it.

(ii) The buoyant force on a body is equal to the volume of the body

(iii) The buoyant force on a body is equal to the weight of the liquid displaced by it.

(iv) The buoyant force on a body is always equal to the weight of the body.

(g) A piece of wood floats on water. The buoyant force on wood will be :

(i) zero

(ii) more than the weight of the wood piece

(iii) equal to the weight of the wood piece.

(iv)less than the weight of the wood piece.

(h) The weight of a body is more than the buoyant force experienced by it, due to a liquid. The body will :

(i) sink

(ii) float with its some part outside the liquid

(iii) float just below the surface of liquid

(iv) float with whole of its volume above the surface of liquid.

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