Chapter U1.5, Problem 4E

Interpretation Introduction

Interpretation:

If two objects have the same mass, the correct option is to be selected.

Concept introduction:

Every matter is made of substance that has mass and volume. The material with which any matter is made of, decides the mass and volume of the object. Mass is the amount of matter which is present in an object while volume is the space an object occupies. Density is mass of a substance per unit of its volume.

Answer to Problem 4E

Correct answer: C. They contain the same amount of matter.

Explanation of Solution

Reason for correct option:

If two objects have the same mass, it means they are made of equal quantity of matter. Objects of same mass may have different volumes depending on the density of matter. Different materials have different densities. Two objects with equal amount of matter will weigh same. So their masses will be equal although they may have different volumes.

Conclusion

Reasons for incorrect options:

1. This is an incorrect option because two objects having same mass will have different volumes as their densities are different. In order to balance their weights, one object must have larger volume than the other object.
2. Here the objects are different so they are made of different material. Hence this is an incorrect option.

 D. This is also not true. If the objects are made of different materials, their densities will also be different.