**Radioactive Decay and Half-Life**

Radioactive decay is a natural process in which unstable atomic nuclei lose energy by emitting radiation. This process occurs in certain types of atoms, known as radioactive isotopes or radioisotopes. Each radioisotope has a characteristic half-life, which is the time it takes for half of the radioactive atoms in a sample to decay.

**Half-Life of Radioactive Nuclide A**

Nuclide A has a half-life of 100 minutes. This means that if we start with a certain amount of nuclide A, after 100 minutes, half of the original amount will have decayed, and we will be left with half of the initial quantity. After another 100 minutes, half of the remaining quantity will decay, and we will be left with one-fourth of the initial quantity. This process continues, with each successive half-life reducing the quantity of nuclide A by half.

**Half-Life of Radioactive Nuclide B**

Nuclide B has a half-life of 50 minutes. This means that it decays at a faster rate compared to nuclide A. After 50 minutes, half of the original quantity of nuclide B will have decayed, leaving us with half of the initial amount. After another 50 minutes, half of the remaining quantity will decay, and we will be left with one-fourth of the initial quantity. This process continues, with each successive half-life reducing the quantity of nuclide B by half.

**Comparison of Half-Life**

By comparing the half-lives of nuclide A and nuclide B, we can observe that nuclide B has a shorter half-life than nuclide A. This implies that nuclide B decays at a faster rate compared to nuclide A. The shorter half-life indicates that the radioactive decay process occurs more rapidly for nuclide B, with a greater quantity of the initial material decaying within a given time interval.

**Implications**

The half-life of a radioactive nuclide is an important parameter as it determines the rate at which the radioactive material decays. The shorter the half-life, the faster the decay process occurs. In practical applications, the half-life is used to estimate the time required for a radioactive substance to reach a safe level or to determine the age of ancient artifacts through radiocarbon dating.

Understanding the half-life of radioactive nuclides is crucial in various fields, including nuclear physics, medicine (radiotherapy), and environmental science (radiation monitoring). It allows scientists to predict the behavior of radioactive materials and make informed decisions regarding their usage and potential hazards.

In conclusion, nuclide A and nuclide B have different half-lives, with nuclide B having a shorter half-life compared to nuclide A. This indicates that nuclide B decays at a faster rate. The concept of half-life is vital in understanding the decay process of radioactive materials and its applications in various scientific disciplines.