Question 47

The density of the small object is equal to that of the large object.

Density is a property that depends only on the material of the object, not on its size or shape. Therefore, a small object made of the same material as a larger object will have the same density.

A) The density of the small object is less than that of the large object.

This option is incorrect because density does not change with the size of the object if the material remains the same. Both small and large objects made of the same material will have identical densities.

B) The density of the small object is equal to that of the large object.

This option is correct. Density is defined as mass per unit volume, and when both objects are made of the same material, their densities are equal regardless of their size.

C) The density of the small object is greater than that of the large object.

This option is incorrect for the same reason as option A. The density remains constant across different sizes of the same material, so a smaller object cannot have a greater density than a larger one made of the same substance.

D) It cannot be determined without knowing the shapes of the two objects.

This option is misleading. While the shape can affect volume, density is an intrinsic property of the material itself. Since both objects are specified to be made of the same material, their densities can be determined without additional information on their shapes.

Conclusion

The correct answer is that the density of the small object is equal to that of the large object, as density is a material property independent of size. All other options fail because they misinterpret the relationship between mass, volume, and density, or incorrectly imply that size influences density.