Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Nucleus

The decay constant for ²³⁸ U is 4.9 10⁻¹⁸ s ⁻¹ . Determine the average-life of ²³⁸ U .

Options

A3.15 10⁷ y
B2.04 10¹⁷ y
C6.49 10⁹ y
D4.50 10⁹ y

Correct answer

C. 6.49 10⁹ y

Step-by-step solution

The decay constant is given as = 4.9 10⁻¹⁸ s ⁻¹ . The average life is the reciprocal of the decay constant: = 1 = 1 4.9 10⁻¹⁸ s = 2.04 10¹⁷ s Converting seconds to years (using 1 year 3.14 10^7 s ): = 2.04 10¹⁷ 3.14 10^7 y 6.49 10^9 y

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