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State the expression for Heisenberg.s un...

State the expression for Heisenberg.s uncertainty principle.

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### Step-by-Step Solution: 1. **Understanding the Principle**: Heisenberg's Uncertainty Principle states that it is impossible to simultaneously know both the exact position and exact momentum of a microscopic particle. This principle highlights a fundamental limit to measurement in quantum mechanics. 2. **Concept of Measurement**: When we try to measure the position of a particle, we often use light (photons) to observe it. However, the act of measuring the position with light imparts energy to the particle, which changes its momentum. This interaction makes it impossible to measure both properties with perfect accuracy at the same time. ...
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Knowledge Check

  • Assuming an electron is confined to a 1 nm wide region. Find the uncertainty in momentum using Heisenberg uncertainty principle. ("Take h"=6.63xx10^(-34)Js)

    A
    `1.05xx10^(-25)"kg m s"^(-1)`
    B
    `2.03xx10^(-31)"kg m s"^(-1)`
    C
    `3.05xx10^(-34)"kg m s"^(-1)`
    D
    `3.05xx10^(-32)"kg m s"^(-1)`
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    It is not possible to determine precisely both the position and momentum (or velocity) of a small moving particle such as electron, proton etc. This is known as Heisenberg uncertainty principle. The mathematical form of this principle is : Delta x.Delta p ge (h)/(4pi) (constant) However this principle is irrelevant in case of bigger particles such as a cup, ball, car etc., that we come across in our daily life. If the uncertainty in position of the electron is zero, the uncertainty in its momentum would be