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Density

Write true or...

Question

Write true or false for each statement:

(a) Equal volumes of the two different substances have equal masses.

(b) The density of a piece of brass will change by changing its size or shape.

(c) The density of a liquid decreases with an increase in its temperature.

(d) Relative density of water is 1.0.

(e) Relative density of a substance is expressed in g $c m^{-} 3$ .

(f) When a body is immersed in a liquid, the buoyant force experienced by the body is equal to the volume of the displaced by it.

(g) A body experiences the same buoyant force while floating in water or alcohol.

(h) A body experiences the same buoyant force when it floats or sinks in water.

(i) A body floats in a liquid when its weight becomes equal to the weight of the liquid displaced by its submerged part.

(j) A body while floating sinks in a liquid of low density than in high density.

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Solution

a) Equal volumes of the two different substances have equal masses.
Answer: False.
Equal volumes of the two different substances have different masses.

(b) The density of a piece of brass will change by changing its size or shape.
Answer: False.

Changing of a shape or size of a piece of a brass do not change its density.

(c) The density of a liquid decreases with an increase in its temperature.
Answer: True.

(d) Relative density of water is 1.0.
Answer: True.

(e) Relative density of a substance is expressed in g cm-3.
Answer: False.
Relative density of a substance has no units.

(f) When a body is immersed in a liquid, the buoyant force experienced by the body is equal to the volume of the liquid displaced by it.
Answer: False.
The buoyant force is equal to the weight of the liquid displaced by the immersed part of the body.

(g) A body experiences the same buoyant force while floating in water or alcohol.
Answer: True.

(h) A body experiences the same buoyant force when it floats or sinks in water.
Answer: False.

A body does not experience the same buoyant force when it floats or sinks in water.

(i) A body floats in a liquid when its weight becomes equal to the weight of the liquid displaced by its submerged part.
Answer: True.

(j) A body while floating sinks in a liquid of low density than in high density.

Answer: True

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Similar questions

Q. The buoyant force exerted by a liquid depends upon the ........... of the liquid in which the object is immersed.
(i) The body would float if the density of its material is ......... to or ......... than the density of the liquid.
(ii) The bodu would sink if the density of the material of the body is ........ than the density of the liquid.

A body while floating sinks deeper in a liquid of low density than in a liquid of high density

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.

Q. A body floats with

\frac{5}{6} t h

of its total volume inside the water. When it floats in a liquid having relative density

1.2

, the fraction of its volume outside the liquid will be:

Q. A body floats in water with its one-third volume above the surface. The same body floats in a liquid with one-third volume immersed. The density of the liquid is:

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