Archimedes' principle Quiz 1

Question 1

A cube of the side length of 0.1 m is half-submerged into a bucket full of water. What is the mass of the cube?

Accepted Answer

0.5 Kg

Answer

0.05 Kg

Answer

1.5 Kg

Answer

2.5 Kg

Question 2

An object of mass 5 kg is placed in liquid. The increase in the volume of liquid is $$2{{m}^{3}}$$ and the density of the liquid is $$1.5kg/{{m}^{3}}$$, the weight of the object in the liquid will be.

Accepted Answer

20N

Answer

30 N

Answer

10N

Answer

40N

Question 3

Ram has two spheres of same size with, A of density $$300kg/{{m}^{3}}$$ and B of density $$8900kg/{{m}^{3}}$$ placed in a liquid of density $$1500kg/{{m}^{3}}$$ . Which block will float in liquid and buoyant force on blocks will be.

Accepted Answer

Only sphere A will float with the same buoyant force

Answer

Both will float with the same buoyant force

Answer

Only sphere A will float with a buoyant force greater than B

Answer

Only sphere B will float with a buoyant force greater than A

Question 4

A cube of side length 15 cm is suspended by a rope and immersed in a liquid. Find the tension in rope. $$[	ext{density of cube}=12gm/c{{m}^{3}}\,	ext{and density of liquid} =5gm/c{{m}^{3}}]$$

Accepted Answer

23.625 N

Answer

20.55 N

Answer

30.50 N

Answer

28.550

Question 5

A body of mass 50 Kg is immersed in water forcefully, when left freely it starts accelerating in an upward direction, find the value of the acceleration. $$[	ext{density of body}\, 500kg/{{m}^{3}}\,	ext{density of water}\,1000kg/{{m}^{3}}]$$ $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/487be4a3-08a1-42aa-880c-ceafb3f6777e6377659494196147945.png"/>

Accepted Answer

$$10m/{{s}^{2}}$$

Answer

$$15m/{{s}^{2}}$$

Answer

$$5m/{{s}^{2}}$$

Answer

$$20m/{{s}^{2}}$$