Tag: upthrust is equal to the weight of displaced liquid

Questions Related to upthrust is equal to the weight of displaced liquid

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?

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

  1. The level will rise

  2. The level will not change

  3. The level will drop

  4. Some water will flow out

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Correct Option: C

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

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

  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. $\sqrt{\dfrac{7\sigma}{\pi d g}}$

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Correct Option: C

A cubical block floating in a liquid with half of its volume immersed in the liquid.when the hole system accelerates downward with an accelerations $g/3$. The fraction of volume immersed in liquid will be 

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

  1. $1/3$

  2. $3/8$

  3. $2/3$

  4. $3/4$

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Correct Option: C

Two solids $A$ and $B$ floats in a liquid. it is observed that $A$ floats with half its volume immersed an d$B$ floats with $(2/3$ of its volume immersed. Compare the densities of $A$ and $B$ :

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

  1. $4:3$

  2. $2:3$

  3. $3:4$

  4. $1:3$

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Correct Option: B

A block wood side 40 cm flods in wateer ina way that it lower fece 5 cm below the free surface or water.

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

  1. ${1600 cm{3}}$

  2. ${64000 cm{3}}$

  3. ${3000cm{3}}$

  4. ${40000cm{3}}$

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Correct Option: A

A frictionless sloping plank 6m long. An oil drum of 300 N is raised up the sloping plank by an effort of 15 N. Calculate height to which oil drum rises is _____

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

  1. $2m$

  2. $7m$

  3. $3m$

  4. $0.3m$

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Correct Option: C

When a ship floats on water :

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

  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

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Correct Option: B

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:

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

  1. 60 kg

  2. 64 kg

  3. 70 kg

  4. 72 kg

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Correct Option: A
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.

Calculate the height $h$ of the portion of the slab the is above the water surface.

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

  1. $0.15\ m$

  2. $0.16\ m$

  3. $0.17\ m$

  4. $0.19\ m$

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Correct Option: A

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

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

  1. $V _{1}=V _{2}$

  2. $V _{1}>V _{2}$

  3. $V _{2}>V _{1}$

  4. $V _{2}=0$

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Correct Option: A