Tag: applications of floatation

Questions Related to applications of floatation

 An ice cube is floating on the surface of water. How will the water level be affected by melting of this ice cube?

  1. Water level will be raised

  2. Water level will go down

  3. Water level will remain the same

  4. Water level will first rise up then it will go down


Correct Option: C

A body is float inside liquid. If we increase temperature then what charges occur in buoyancy force?(Assume body is always in floating condition )

  1. Buoyancy force will condition

  2. Buoyancy force will increase

  3. Buoyancy force remains constant

  4. Cannot be calculated from given statement


Correct Option: A

A wooden cube floats just inside the water, when a mass of $x$ (in grams) is placed on it. If the mass is removed, the cube floats with a height $\dfrac{x}{100}\ cm$ above the water surface. The length of the side of cube is (density of water is $1000\ kg/m^{3}$)

  1. $10\ cm$

  2. $15\ cm$

  3. $20\ cm$

  4. $30\ cm$


Correct Option: C

If the density of a block is $981kg/{m^3}$ then it shall

  1. Sink in water

  2. float with some part emmersed in water

  3. float completely immersed in watere

  4. float completely out of water.


Correct Option: C

A cork of density $0.5\,gc{m^{ - 3}}$ floats on a calm swimming pool. The fraction of the cork's volume which is under water is:-

  1. 0 %

  2. 25 %

  3. 10 %

  4. 50 %


Correct Option: A

Consider a small balloon filled with an ideal gas which is submerged in water. Assuming that the temperature is the same everywhere in the water, the buoyant force on the balloon when it is at a depth d below the surface, in terms of its volume at the surface $V _ { 0 }$ , the atmospheric pressure $P _ { 0 }$ , the density of water $\rho _ { 0 }$ , and the acceleration due to gravity g.

  1. $F _ { B } = \frac { P _ { 0 } V _ { 0 } } { d + \frac { P _ { 0 } } { \rho g } }$

  2. $F _ { B } = \frac { P _ { 0 } V _ { 0 } } { d \rho g + P _ { 0 } }$

  3. $F _ { B } = \frac { d \rho g + P _ { 0 } } { P _ { 0 } V _ { 0 } }$

  4. $F _ { B } = \frac { P _ { 0 } V _ { 0 } } { d + \frac { \rho g } { P _ { 0 } } }$


Correct Option: C

A body is floating in water with $80$% of its volume below the surface of water. What is the density of body?

  1. $666.7kg/{ m }^{ 3 }$

  2. $777.6kg/{ m }^{ 3 }$

  3. $800kg/{ m }^{ 3 }$

  4. $876.6kg/{ m }^{ 3 }$


Correct Option: C

A body of mass $6kg$ immerses in water partially. If the body displaces $100$ g of water, then the apparent weight of the body is

  1. $59$ N

  2. $40$ N

  3. $49$ N

  4. $60$ N


Correct Option: A

A boat is floating in water at $0^{ \circ  }C$ such that 97% of the volume of the boat is submerged in water . The temperature at which the boat will just completely sink in water is $(\gamma _{ R }=3\times { 10 }^{ -4 }/{ ^{ 0 }C })(nearly)$ 

  1. ${ 100 }{ ^{ 0 }C }$

  2. ${ 103 }{ ^{ 0 }C }$

  3. ${ 60 }{ ^{ 0 }C }$

  4. ${ 50 }{ ^{ 0 }C }$


Correct Option: A

A dog weighing 5n kg is standing on a flat boat so that it is 10m from the shore . The dog walks 4 m on the boat towards the shore and then halts. The boat weighs 20kg and one can assume that there is no friction between it and the water .How far is the dog from the shore at the end of this time ?

  1. 3.2 m

  2. 0.8 m

  3. 10 m

  4. 6.8 m


Correct Option: D