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Your answer depends on its cut, clarity, colour, and whether or not the weight of the stone you describe is a gemstone or an industrial diamond.
The diamond if it is cut as a round brilliant gem, will measure 17.6MM at the girdle, which is almost three-quarters of an inch in diameter. If it is a different cut, its measurement will be different.
You can review the site, below, to see a replica of the raw stone and the named stones cut from it.
Two carats is the weight of the gem in question. Its looks depend on its cut, clarity, and colour.
Given the proper environment, a diamond can cut anything, including another diamond.