Tag: upthrust is equal to the weight of displaced liquid

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Multiple choice physics upthrust in fluids, archimedes' principle and floatation upthrust is equal to the weight of displaced liquid pressure in fluids buoyancy

A piece of ice having a stone frozen in its melts in a glass vessel filled with water. How will the level of water in the vessel change when the ice melts?

  1. The level will rise

  2. The level will not change

  3. The level will drop

  4. Some water will flow out
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When the ice melts, the stone sinks and the ice becomes water. The volume of water displaced by the ice (floating) is equal to the weight of the ice. Once melted, the water occupies less volume than the ice did, causing the level to drop.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation upthrust is equal to the weight of displaced liquid pressure in fluids buoyancy

A metal wire of density $d$ floats, in a liquid of surface tension $\sigma$, in the horizontal position. The maximum radius of the wire so that it may not sink is

  1. $\sqrt{\dfrac{2\sigma}{\pi d g}}$
  2. $\sqrt{\dfrac{3\sigma}{\pi d g}}$
  3. $\sqrt{\dfrac{5\sigma}{\pi d g}}$
  4. $\sqrt{\dfrac{7\sigma}{\pi d g}}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice physics upthrust in fluids, archimedes' principle and floatation upthrust is equal to the weight of displaced liquid pressure in fluids buoyancy

When a ship floats on water :

  1. it displaces no water

  2. the mass of water displaced is equal to the mass of the ship

  3. the mass of water displaced is lesser than the mass of the ship

  4. the mass of water displaced is greater than the mass of the ship
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to the law of flotation, a floating object displaces a weight of fluid equal to its own weight. Therefore, the mass of the displaced water equals the mass of the ship.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation upthrust is equal to the weight of displaced liquid pressure in fluids buoyancy

A boat 3 m long and 2 m wide is floating in a lake. When a man climbs over it, it sinks 1 cm further into water. The mass of the man is:

  1. 60 kg

  2. 64 kg

  3. 70 kg

  4. 72 kg
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\delta Vg$=Weight of mass.

$\begin{array}{l} 1000\times \left( { 3\times 2\times \frac { 1 }{ { 100 } }  } \right) \times 10=mg \ m=60kg \end{array}$
$ \therefore$ Option $A$ is correct.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation upthrust is equal to the weight of displaced liquid pressure in fluids buoyancy

A ball floats on the surface of water in a container exposed to the atmosphere. Volume $V _{1}$ of its volume in inside the water. If the container is now covered and the air is pumped out. Now let $V _{2}$ be the volume now immersed in water. Then

  1. $V _{1}=V _{2}$
  2. $V _{1}>V _{2}$
  3. $V _{2}>V _{1}$
  4. $V _{2}=0$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The buoyant force is equal to the weight of the displaced water. Since the weight of the ball and the density of the water do not change when the air is removed, the volume of water displaced remains the same.