Overview
Please check and guide me on the following problems:
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de Broglie wavelength calculations
- (a) For an electron with kinetic energy 3 eV.
- (b) For a proton with kinetic energy 3 eV.
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Heisenberg uncertainty principle problems
- (a) Find the smallest region (∆x) in which an electron can be confined if the uncertainty in velocity is 2 × 10⁴ m/s.
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(b) For an electron confined to 0.1 nm, find:
- Uncertainty in momentum (∆p).
- Kinetic energy corresponding to that ∆p.
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Macroscopic quantum estimate
- Estimate the minimum velocity measurable for a billiard ball (100 g) confined to a 1 m table.
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Lifetime–energy uncertainty
- For a Σ particle (rest energy = 1385 MeV, lifetime = 2 × 10⁻²³ s), find the typical energy range (∆E) of rest energy measurements.