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The uncertainty principle states that
  • a)
    it is impossible to know anything with certainty
  • b)
    there can only be one uncertain digit in a reported number
  • c)
    it is impossible to know the exact position and momentum of an electron simultaneously
  • d)
    it is impossible to determine mass of light particles
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The uncertainty principle states thata)it is impossible to know anythi...
The Heisenberg uncertainty principle states that the exact position and momentum of an electron cannot be simultaneously determined. This is because electrons simply don't have a definite position, and direction of motion, at the same time!
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The uncertainty principle states thata)it is impossible to know anythi...
Understanding the Uncertainty Principle
The uncertainty principle, formulated by Werner Heisenberg, is a fundamental concept in quantum mechanics that highlights the limitations of measuring certain pairs of physical properties.
Key Concept
- The principle asserts that there is a fundamental limit to the precision with which certain pairs of physical properties, known as complementary variables or canonically conjugate variables, can be known simultaneously.
Position and Momentum
- Specifically, the most commonly referenced pair is position and momentum.
- According to the uncertainty principle, if you measure the position of a particle, like an electron, very accurately, its momentum becomes highly uncertain, and vice versa.
Mathematical Representation
- The relationship is often expressed mathematically, indicating that the product of the uncertainties in position (Δx) and momentum (Δp) is always greater than or equal to a constant (h/4π).
- This means that the more precisely we know one quantity, the less precisely we can know the other.
Implications for Electrons
- This principle is crucial for understanding the behavior of electrons in atoms, as they do not have definite paths but rather exist in a cloud of probabilities.
- It challenges classical mechanics, where position and momentum could be known with arbitrary precision.
Conclusion
- Therefore, option ‘C’ correctly states that it is impossible to know the exact position and momentum of an electron simultaneously, emphasizing a core tenet of quantum mechanics and the inherent limitations of measurement at the quantum level.
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The uncertainty principle states thata)it is impossible to know anything with certaintyb)there can only be one uncertain digit in a reported numberc)it is impossible to know the exact position and momentum of an electron simultaneouslyd)it is impossible to determine mass of light particlesCorrect answer is option 'C'. Can you explain this answer?
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