**Core Concept**
The management of amoebic cysts in water involves the use of disinfectants to eliminate the cysts and prevent the spread of amoebiasis. Amoebic cysts are resistant to various disinfection methods, and the most effective method to eliminate them is by using a strong disinfectant.

**Why the Correct Answer is Right**
Iodine is a strong disinfectant that is effective against a wide range of microorganisms, including amoebic cysts. When used in a concentration of 5-10 mg/L, iodine can inactivate and kill amoebic cysts, thereby preventing the spread of amoebiasis. Iodine's mechanism of action involves the oxidation of the cyst's proteins and DNA, ultimately leading to the death of the cyst.

**Why Each Wrong Option is Incorrect**
**Option B:** Boiling water is effective against many microorganisms, but it may not be sufficient to kill amoebic cysts, which are highly resistant to heat. Boiling water may require a prolonged period to kill the cysts, and even then, there is no guarantee of complete inactivation.

**Option C:** Ultraviolet (U.V) rays can inactivate microorganisms, but they are not effective against amoebic cysts, which are highly resistant to U.V light. The cysts have a thick cell wall that protects them from U.V damage.

**Option D:** Chlorination is a common method for disinfecting water, but it may not be effective against amoebic cysts. Chlorine's effectiveness is reduced in the presence of organic matter, and amoebic cysts can survive in chlorinated water for a prolonged period.

**Clinical Pearl / High-Yield Fact**
It is essential to note that iodine is not the only disinfectant that can be used to manage amoebic cysts. However, it is the most effective and widely used method. Other disinfectants, such as chlorine dioxide and ozone, may also be effective, but their use may require specialized equipment and expertise.

**✓ Correct Answer: A. Iodine**