Questions Related to physics

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

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.

  1. Both statement I and statement II are correct and statement II is the correct explanation of statement I

  2. Both statement I and statement II are correct, but statement II is not the correct explanation of statement I

  3. Statement I is correct, but statement II is incorrect

  4. Statement I is incorrect, but statement II is correct

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Since buoyant force experienced by a body is equal to weight of liquid displaced by the body. Hence it remains same for all the bodies of equal volume.

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

The reading of a spring balance when a block is suspended from it in air is 60 newton. This reading is changed to 40 newton when the block is fully submerged in water. The specific gravity of the block must be therefore " 

  1. 3

  2. 2

  3. 6

  4. 3/2

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Specific gravity or relative density of block is given as

$R.D.=\dfrac { mass\quad of\quad block }{ loss\quad in\quad mass\quad in\quad liquid } =\dfrac { 60 }{ 60-40 } $
$\boxed { R.D.=3 } $

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