Which radioactive material measurement is equivalent to 3.7x10-10 disintegrations per second?

The measurement that corresponds to 3.7x10^-10 disintegrations per second is the Becquerel. The Becquerel is defined as one disintegration per second and is the SI unit of radioactivity.

The Curie, on the other hand, is an older unit that was historically used to measure radioactivity. It is defined as 3.7x10^10 disintegrations per second, which means that one Curie represents a much larger quantity of radioactive disintegrations compared to a Becquerel. Therefore, the given value of 3.7x10^-10 disintegrations per second corresponds to the Becquerel, not the Curie.

Gray and Sievert are units related to radiation dose and biological effects of radiation, respectively. Gray measures the absorbed dose of ionizing radiation, while the Sievert is used to quantify the biological effects of that absorbed dose. Neither of these units is applicable to measuring the rate of radioactive disintegration.

Thus, in the context of the question, your understanding of the measurement of radioactive materials and their units is essential for identifying the correct measurement that reflects 3.7x10^-10 disintegrations per second.