Explanation Write the expression of Heisenberg uncertainty principle for energy and time. ( Δ E ) ( Δ t ) ≥ h 2 π (I) Here, Δ E is the uncertainty in the amount of energy, Δ t is the uncertainty in the time 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 formula to find the minimum uncertainty in the energy, from equation (I) and substitute ℏ for h 2 π as follows. Δ E ≥ ℏ Δ t (III) Write the energy equation in term of uncertain energy and mass. Δ E = ( Δ m ) c 2 Here, Δ m is uncertainty in the mass and c is speed of light. Substitute the ( Δ m ) c 2 for Δ E in equation (III) to find Δ m . ( Δ m ) c 2 ≥ ℏ Δ t Δ m ≥ ℏ c 2 Δ t (IV) Conclusion: Substitute 6

Physics for Scientists and Engineers with Modern Physics

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ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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T1. Calculate what is the received frequency when the car drives away from the radar antenna at a speed v of a) 1 m/s ( = 3.6 km/h), b) 10 m/s ( = 36 km/h), c) 30 m /s ( = 108 km/h) . The radar transmission frequency f is 24.125 GHz = 24.125*10^9 Hz, about 24 GHz. Speed of light 2.998 *10^8 m/s.

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Chapter 38 Solutions

Physics for Scientists and Engineers with Modern Physics

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The uncertainty in the mass of muon.

Solution Summary: The author writes the expression of Heisenberg uncertainty principle for energy and time.

The uncertainty in the mass of muon.

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Chapter 38 Solutions