Question
Using Archimedes' principle, describe an experiment to find the relative density of a solid which floats on water.
✓
Answer
We can find the relative density of a solid which floats on water by following the experiment.
Measuring the relative density of a cork
Choose a sinker and find its weight in water by suspending it in water.
Tie the solid to the string attached to the sinker and find its weight in air but sinker in water.
Remove the solid and tie it together with the sinker and suspend it in water and find the weight of the solid together with the sinker in water.
Record your observation as shown below: Weight of sinker in water = x gf
Weight of sinker in water + solid in air = y gf Weight of solid in air = (y - x) gf
Weight of solid + sinker in water = z gf
upthrust on solid in water = (y - z) gf.
The upthrust on in water also represents the weight of the water displaced by the solid. Relative density of solid = (weight of cork in air )/(weight of equal volume of water) Relative density = (y - x)/(y - z).
Measuring the relative density of a cork
Choose a sinker and find its weight in water by suspending it in water.
Tie the solid to the string attached to the sinker and find its weight in air but sinker in water.
Remove the solid and tie it together with the sinker and suspend it in water and find the weight of the solid together with the sinker in water.
Record your observation as shown below: Weight of sinker in water = x gf
Weight of sinker in water + solid in air = y gf Weight of solid in air = (y - x) gf
Weight of solid + sinker in water = z gf
upthrust on solid in water = (y - z) gf.
The upthrust on in water also represents the weight of the water displaced by the solid. Relative density of solid = (weight of cork in air )/(weight of equal volume of water) Relative density = (y - x)/(y - z).
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A train is moving with a velocity of $90 km h^{-1} $. It is brought to stop by applying the brakes which produce a retardation of $0.5 ms^{-2}$ Find :
(i) The velocity after $10 s$ , and
(ii) the time taken by the train to come to rest .
→(i) The velocity after $10 s$ , and
(ii) the time taken by the train to come to rest .
A body is moving in a straight line and its displacement at various instants of time is given in the following table
Plot the displacement-time graph and calculate (i) Total distance travelled in the interval 1 s to 5 s. (ii) Average velocity in time interval 1 s to 5 s.
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Displacement (m) | 2 | 6 | 12 | 12 | 12 | 18 | 22 | 24 |
What are the fundamental units in SI system? Name them along with their symbols.
Figure shows a screw gauge in which circular scale has 200 divisions. Calculate the least count and radius of wire.
Distinguish between real and virtual images.
How can you find the following?
1. Velocity from a displacement - time graph.
2. Acceleration from velocity - time graph.
3. Displacement from velocity - time graph.
4. Velocity from acceleration - time graph.
1. Velocity from a displacement - time graph.
2. Acceleration from velocity - time graph.
3. Displacement from velocity - time graph.
4. Velocity from acceleration - time graph.
Describe in brief, with the aid of a lebelled diagram, an experiment to demonstrate that a material medium is necessary for propagation of sound.
Derive the equation
$V^2-u^2 = 2as$
→$V^2-u^2 = 2as$
(a) What should be the minimum size of a plane mirror, so that a person 182 cm high can see himself completely?
(b) A boy stands 4 m away from plane mirror. If the boy moves $1 / 2 m$ towards mirror, what is now the distance between the boy and his image? Give a reason for your answer.
→(b) A boy stands 4 m away from plane mirror. If the boy moves $1 / 2 m$ towards mirror, what is now the distance between the boy and his image? Give a reason for your answer.
(a) Name the two factors on which time period of a simple pendulum depends.
(b) Name the devices commonly used to measure
(i) mass and
(ii) weight of a body.
(b) Name the devices commonly used to measure
(i) mass and
(ii) weight of a body.