Explanation Given Info: The value of ℏ is 1.054 × 10 − 34 J ⋅ s , the speed of light is 3 × 10 8 m / s and lifetime of the particle is 10 − 7 s . Write the expression for the lifetime of the particle. τ ⋅ Δ E = ℏ (1) Δ E is the uncertainty in energy τ life time of the particle Write the expression for the uncertainty in energy of the particle. Δ E = Δ m c 2 (2) Δ m is the mass of the particle c is the speed of light Substitute (2) in (1) to calculate Δ m . τ ⋅ ( Δ m ) c 2 = ℏ Substitute 1.054 × 10 − 34 J ⋅ s for ℏ , 3 × 10 8 m / s for c and 10 − 7 s for τ in the above equation to calculate τ . 10 − 7 s ( Δ m ) ( 3 × 10 8 m / s ) 2 = 1

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Author: Wolfson, Richard

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Chapter 34, Problem 85PP

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The mass of the particle.

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Chapter 34, Problem 84PP

Chapter 35.1, Problem 35.1GI

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Chapter 34 Solutions

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Ch. 34.2 - Prob. 34.1GI Ch. 34.3 - If you replot Fig. 34.7 for a material with a...Ch. 34.3 - Prob. 34.3GI Ch. 34.4 - Prob. 34.4GI Ch. 34.5 - Prob. 34.5GI Ch. 34.6 - Prob. 34.6GI Ch. 34 - Prob. 1FTD Ch. 34 - Prob. 2FTD Ch. 34 - Prob. 3FTD Ch. 34 - Prob. 4FTD

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