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The error in the measurement of lifetime of an atom is 2 × 10-2 sec. What is the minimum uncertainty in its energy in eV?
  • a)
    2 × 10-15​ eV
  • b)
    8 × 10-15​ eV
  • c)
    1.6 × 10-14 eV
  • d)
    4 × 10-15​ eV
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The error in the measurement of lifetime of an atom is 2× 10-2se...
Given Δt = 2 × 10-2 sec;
From the second equation,

Therefore, minimum uncertainty in energy is 
ΔE = 2.638 × 10-33 J;
Converting in eV,
ΔE = (2.638 × 10-33)/(1.6 × 10-19) eV = 1.6 × 10-14 eV;
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The error in the measurement of lifetime of an atom is 2× 10-2sec.What is the minimum uncertainty in its energy in eV?a)2× 10-15 eVb)8 × 10-15 eVc)1.6 × 10-14 eVd)4 × 10-15 eVCorrect answer is option 'C'. Can you explain this answer?
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