Answer to Question #329225 in Quantum Mechanics for Ayesha

Question #329225

for small uncertainty in the measurement of position of a particle, the wavelength of the incident light should be :


Small


Large


Average


Doesn't depend on wavelength

1
Expert's answer
2022-04-17T17:07:15-0400

The wavelength should be small.


According to the Heisenberg's uncertainty principle, the uncertainty in position Δx\Delta x is inversely proportional to the uncertainty in speed Δv\Delta v. Thus, in order to make Δx\Delta x small, we should make Δv\Delta v big (disturb particle with a radiation of great energy). The energy of radiation is inversely proportional to its wavelength. Thus, in order to obtain greater energy one should choose smaller wavelength.


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