Tag: archimedes' principle

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Questions Related to archimedes' principle

Multiple choice archimedes' principle fluid pressure properties of matter physics

A rectangular block is $10\ cm \times 10\ cm \times 15\ cm$ in size is floating in water with $10\ cm$ side vertical. If it floats with $15\ cm$ side vertical, then the level of water will

  1. $Rise$
  2. $Fall$
  3. $Remain\ same$
  4. $Change\ according\ to\ density\ of\ block$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

According to Archimedes' principle, a floating object displaces a weight of fluid equal to its own weight. Since the weight of the block remains constant regardless of its orientation, the weight (and thus the volume) of the water displaced remains the same, so the water level does not change.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A boat having some iron pieces is floating in a pond. If iron pieces are thrown in the liquid then level of liquid 

  1. Increases

  2. Decreases

  3. May increase or decrease

  4. Neither increases nor decreases
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When the iron pieces are in the boat, they displace a volume of water equal to their weight divided by the density of water. When thrown into the water, they sink and displace only a volume of water equal to their own volume. Since the density of iron is much greater than that of water, the volume displaced when submerged is less than the volume displaced when floating, causing the water level to decrease.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A coil of wire of cross-section$0.50$ $m m ^ { 2 }4$ weighs $75g$ in air and $65g$ in water. The length of the coil in cm is

  1. $\frac { 10 ^ { 2 } } { 50 }$
  2. $\frac { 10 ^ { 2 } } { 0.50 }$
  3. $\frac { 10 ^ { 5 } } { 50 }$
  4. $\frac { 10 ^ { 5 } } { 0.0050 }$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The loss in weight in water equals the buoyant force, which is the weight of the displaced water. Using density of water (1 g/cm^3), the volume of the coil is 10 cm^3. Given the cross-section of 0.5 mm^2 (0.005 cm^2), the length is Volume/Area = 10 / 0.005 = 2000 cm, which matches 10^5 / 50.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A hollow metal container floats in water, because it displaces _____ weight of water than/as its own weight.

  1. more

  2. less

  3. same

  4. can't say
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

FALSE
If hollow metal container  displaces more weight of water than its own weight it will sink.
Because, we know that by Archimedes principle, the weight of water displaced should be equal to the weight of the part submerged in water. If the weight is greater than the weight of the object, it will sink.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A piece of ice floats in a liquid denser than water.The liquid fills the vessel upto the edge. If ice melts completely then:

  1. water level remains unchanged

  2. water level decreases

  3. water overflows

  4. data is insufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Density of ice is less than that of water. If it melts it becomes water. But still, the density of liquid is greater than water therefore, water remains on top and thus it floats and then overflows.

Multiple choice archimedes' principle fluid pressure properties of matter physics

State whether the given statement is True or False :

When submerged, a $3N$ block appears to weigh only $1N$. The missing weight is equal to the weight of the water.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Objects weigh more in air than in water. When submerged, the 3 N block appears to weigh only 1 N. The missing weight is equal to the weight of the water displaced. The 2 N weight is equal to the buoyant force.
That is, Loss in weight of body = Weight of water (liquid) displaced by the body = Buoyant force or upthrust exerted by water (any liquid) on the body.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A body of density 5.34  $ \displaystyle g/cm^{3} $ when immersed in water (density 1.0$ \displaystyle g/cm^{3} $ ) will 

  1. float

  2. sink

  3. rise

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 

Any solid floats on water if its density is less than the density of water(i.e. 1).So, it will sink.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A piece of iron [density 7.6$ \displaystyle gcm^{-3} $] sinks in mercury [density 13.6 $ \displaystyle gcm^{-3} $]. State whether true or false.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since condition for sinking of a body of density $\sigma $ in a liquid of density S is 

                  $\sigma >S.$
& Since iron of density 7.69/cc is less lighter than density of mercury (density 13.6g/cc). Hence iron will float on mercury.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A piece of iron sinks in water but can float in mercury. True or false.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Conditions for sinking of a body of density $\sigma $ in a liquid of density S is 

           $\sigma \quad >\quad S$
hence iron sink in water & float in mercury as iron is lighter than mercury.

Multiple choice archimedes' principle fluid pressure properties of matter physics

When an object is placed in a liquid whose density is lower than the object, the object will float. True or false.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

a body of higher density would sink in a liquid of lower density 

so the given object would sink in this case
hence option (B) would be correct.