Tag: floatation

Questions Related to floatation

Assertion: To float; a body must displace liquid whose weight is equal to the actual weight.
Reason: The body will experience no net downward force in that case.

  1. Both assertion and reason are true and reason is correct explanation of assertion.

  2. Both assertion and reason are true but reason is not the correct explanation of assertion.

  3. Assertion is true but reason is false.

  4. Both assertion and reason are false.


Correct Option: A
Explanation:

If the body displaces liquid whose weight is equal to the actual weight of body, the downward force weight will be balanced by the buoyant force and the body won't experience any net downward force in that case.

What is the relation between thrust and pressure?

  1. Pressure directly proportional to thrust

  2. Pressure indirectly proportional to thrust

  3. No relation

  4. none


Correct Option: A
Explanation:
Hence pressure=$P=\dfrac{Thrust}{Area}$
$\implies Pressure\propto Thrust$

Buoyant force is directed

  1. upwards

  2. downwards

  3. sideways

  4. at ll directions


Correct Option: A
Explanation:

As evident from Archimedes' principle, buoyant force is the force applied upward on any object by a fluid.

When a solid is completely immersed in a fluid, the apparent loss of weight of solid is _______ volume of fluid displaced 

  1. more than

  2. less than

  3. equal to

  4. cant say


Correct Option: C
Explanation:

From the principle of Archimedes, loss of weight is equal to the weight of the liquid displaced.

When a body is fully immersed in a liquid the apparent loss in the weight of body is equal to :

  1. volume of liquid displaced by the body

  2. density of the liquid

  3. weight of liquid displaced by the body

  4. none of these


Correct Option: C
Explanation:

According to Archimedes principle, the weight of water displaced is equal to the weight of immersed part.For a solid floating in a liquid, its weight acting vertically down at its centre of gravity is equal to the weight of the liquid displaced by the immersed part of the solid acting vertically up at its centre of buoyancy. In the floating condition, the apparent weight and the apparent density of the solid are zero and the body is said to be weightless.

State whether the weight of an iron sinker with cork combined in water will be more or less than that of the iron sinker alone in water. 

  1. Less

  2. More

  3. Same

  4. None of the above


Correct Option: A
Explanation:

The weight of an iron sinker with cork combined in water will be less than that of the iron sinker alone in water.
This is because upthrust on cork due to water (when completely immersed) is greater than its weight.

An incompressible liquid of density $\rho$ is contained in a vessel of uniform cross-sectional area $A$. If then atmospheric pressure is $p$, then the force acting on a horizontal plane of area a situated at a depth $d$ in liquid is given by

  1. $Ap+apgd$

  2. $\dfrac { p }{ A } +\dfrac { \rho gd }{ a }$

  3. $\dfrac { p+\rho gd }{ a }$

  4. $a\left( \rho\ gd+p \right)$


Correct Option: D

A gas is enclosed in a rectangular vessel. $20 \times 10^23$ molecules of the gas strike a well of the vessel normally per second, with a velocity of 250m/s and rebound with the same speed in the opposite direction. What is the force exerted by the gas on the wall if the mass of each molecule is $5 \times 10^-23$ g ? 

  1. 50 N

  2. 40 N

  3. 75 N

  4. 25 N


Correct Option: A

A pump is required to lift 1000 kg of water per minute from a well 20 m deep and eject it at a rate of 20 $ms^-1$. What (horsepower engine is required for the purpose of lifting water)?

  1. $4.46 HP$

  2. $4.36 HP$

  3. $3.96 HP$

  4. $8.85 HP$


Correct Option: A

The branch of physics which deals with the study of fluids at rest is called :

  1. statistics

  2. hydrostatics

  3. hydrodynamics

  4. thermometry


Correct Option: B
Explanation:

The branch of physics which deals with the study of fluids at rest is called hydrostatics.

Hydro stands for liquids and statics is for the fluid at rest.