Final answer:
The specific gravity of rose quartz, with a mass of 4 grams, is found to be 1, equivalent to water's density, indicating both have identical densities. This result implies the density of the rose quartz is in parity with that of water.
Step-by-step explanation:
The specific gravity of an object is the ratio of its density to the density of a reference substance. In this case, we'll use water as the reference substance, which has a density of 1 g/cm³.
First, determine the mass of the cylinder alone:
Mass of cylinder = Total mass of water and cylinder - Mass of water, rose quartz, and cylinder
Mass of cylinder = 113 grams - 2 grams = 111 grams
Next, find the mass of the water alone:
Mass of water = Total mass of water and cylinder - Mass of cylinder
Mass of water = 113 grams - 111 grams = 2 grams
Since the mass of water is the same as the total mass of water, rose quartz, and cylinder, it implies that the rose quartz has no effect on the water's mass when submerged.
Therefore, the specific gravity of the rose quartz, calculated as the ratio of its density to water's density, is 4 grams / 4 grams = 1. This indicates that the density of the rose quartz is the same as that of water.