Explanation Write the expression of Heisenberg uncertainty principle. ( Δ x ) ( Δ p x ) ≥ h 2 π (I) Here, Δ p x is the uncertainty of the moment in the x direction, Δ x is the uncertainty in the position and h is plank’s constant. Find the quantity of h 2 π in numeric form and replace this term with symbol ℏ ( “h-bar”). ℏ = h 2 π (II) Write the expression for uncertainty in the momentum, Δ p = m Δ v (III) Here, m mass of element and Δ v is the uncertainty in the speed. Substitute m Δ v for Δ p and ℏ for h 2 π in equation (I) to form an expression to find Δ v . ( Δ x ) ( m Δ v ) ≥ ℏ Δ v ≥ ℏ m ( Δ x ) Conclusion: Substitute 1

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ISBN: 9781323150849

Author: GIANCOLI

Publisher: PEARSON C

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Chapter 38, Problem 5P

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The precision for measuring the electron speed.

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Chapter 38 Solutions