If the decay constant is recorded 2.3 x 10^-4 m as half life of 14C, the half life of element is _ years.
Correct answer: D. 3000
- A. 6000
- B. 5000
- C. 4000
- D. 3000
Explanation
The half-life (T₁/₂) of an element can be calculated using the formula: T₁/₂ = 0.693 / λ where λ is the decay constant, which can be determined from the recorded wavelength of radiation. Given: Wavelength (λ) = 2.3 × 10⁻⁴ m Substituting the value into the formula, we have: T₁/₂ = 0.693 / (2.3 × 10⁻⁴) ≈ 3000 Therefore, the half-life of the element is approximately 3000.
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