A radioactive substance decays exponentially. If the initial mass is 100 grams and it decays to 25 grams in 3 years, find the half-life of the substance.

Mon, 04 May 2026 17:47:50 +0000

**A radioactive substance decays exponentially. If the initial mass is 100 grams and it decays to 25 grams in 3 years, find the half-life of the substance.** When radioactivity draws quiet attention online, questions about decay timing emerge—not just in science circles but across health, environmental, and even investment forums. This substance decays exponentially, and understanding its rhythm reveals more than just numbers: it connects to real-world applications in medicine, nuclear forensics, and energy planning. If 100 grams shrinks to 25 grams in just 3 years, how long does it take to halve? And why does this pattern matter? Explore the math, the context, and what this decay reveals in today’s information-driven world. ### Why A radioactive substance decays exponentially. If the initial mass is 100 grams and it decays to 25 grams in 3 years, find the half-life of the substance Radioactive decay follows a predictable pattern—less visible, yet foundational to modern technology and science. Unlike linear processes, exponential decay means the substance loses mass at a rate proportional to what remains, resulting in rapid early loss followed by slowing over time. When a sample starts at 100 grams and reduces to 25 grams in 3 years, it has halved twice: 100 → 50 → 25. That two-step drop signals two half-lives. Calculated simply, each half-life spans 1.5 years—confirming the substance’s natural rhythm.