Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Nucleus

A free neutron undergoes beta-decay to a proton, having a half-life of 14 minutes . Determine the decay constant.

Options

A8.25 10⁻² s ⁻¹
B8.25 10⁻⁴ s ⁻¹
C1.21 10³ s ⁻¹
D4.95 10⁻² s ⁻¹

Correct answer

B. 8.25 10⁻⁴ s ⁻¹

Step-by-step solution

Given half-life T_ 1/2 = 14 minutes . Converting to seconds: T_ 1/2 = 14 60 s = 840 s The relation between decay constant and half-life is: = 2 T_ 1/2 Substituting the values: = 0.693 840 = 8.25 10⁻⁴ s ⁻¹

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