Fundamental Concepts - GRE Subject Test: Physics

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Question

Which of the following wavelengths could be used to measure the position of an electron with the greatest accuracy?

Answer

The Heisenberg Uncertainty principle states that

Therefore, the smallest wavelength will have the lowest uncertainty in the position. Thus, we must pick the regime of options given which has the lowest wavelength. That is gamma-ray.

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Question

What wavelength will result in the most accurate measurement of the momentum of an electron?

Answer

The Heisenberg Uncertainty Principle states that:

Since the uncertainty in the position is inversely proportional to the uncertainty in the momentum, we need to pick the longest wavelength. Of the options listed, radio has the longest wavelength.

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