Answer: Option (4)
Explanation: The most efficient radioactive method used for the determination of fossil age which is about one billion years old is the Potassium-Argon method (⁴⁰K-⁴⁰Ar).
Potassium-Argon method is generally used to date fossils which are more than 1.2 billion years old as its half life is almost about 1.2 billion years. Potassium is highly radioactive, which converts into Argon and becomes stable.
Uranium and Carbon are also highly radioactive whereas Lead and Nitrogen are stable elements.
¹⁴C-¹⁴N is not an efficient method as it has a half life of only about 5700 years.
Thus the correct answer is option (4).