List - I shows various isotopes and List - II indicates their half-lives.
Match List - I with List - II.
List - I List - II A. ${ }^{3}\text{H}$ I. 60 days B. ${ }^{14}\text{C}$ II. 14.5 days C. ${ }^{32}\text{P}$ III. 5700 years D. ${ }^{125}\text{I}$ IV. 12.2 years
Choose the correct answer from the options given below :
Matching Isotopes and Half-Lives
This question requires matching specific isotopes listed in List-I with their corresponding half-lives presented in List-II. The half-life is the time required for a radioactive substance to decay to half of its initial amount.
Isotope Half-Life Identification
We need to identify the common half-lives for the given isotopes:
- A. ${ }^{3}\text{H}$ (Tritium): The commonly accepted half-life for Tritium is approximately 12.3 years. This corresponds to option IV.
- B. ${ }^{14}\text{C}$ (Carbon-14): Carbon-14 is well-known for its use in radiocarbon dating. Its half-life is approximately 5730 years. This matches option III.
- C. ${ }^{32}\text{P}$ (Phosphorus-32): Phosphorus-32 is a beta emitter often used in biological research. Its half-life is about 14.3 days. This corresponds to option II.
- D. ${ }^{125}\text{I}$ (Iodine-125): Iodine-125 is used in medical applications like brachytherapy. Its half-life is approximately 59.4 days. This matches option I.
Final Match Confirmation
Based on the standard half-lives:
- A matches with IV (12.2 years)
- B matches with III (5700 years)
- C matches with II (14.5 days)
- D matches with I (60 days)
Therefore, the correct combination is A-IV, B-III, C-II, D-I.
| Isotope | Half-life (Approx.) | List-II Match |
| ${ }^{3}\text{H}$ | 12.3 years | IV |
| ${ }^{14}\text{C}$ | 5730 years | III |
| ${ }^{32}\text{P}$ | 14.3 days | II |
| ${ }^{125}\text{I}$ | 59.4 days | I |
The correct option reflecting this match is Option B.
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