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Heisenberg’s uncertainty principle is considered one of the most asked concept.
4 Questions around this concept.
In an atom, an electron is moving with a speed of 600 m/s with an uncertainty of 0.005%. Uncertainty with which the position of the electron can be located is X m. The value of X is
Given below are two statements:
Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.
Statement II: The concept of an electron in Bohr's orbit. violates the Heisenberg uncertainty principle. In the light of the above statements, choose the most appropriate answer from the options given below.
Heisenberg’s uncertainty principle:
It states that it is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron.
If an attempt is made to ensure that any one of these two quantities are measured with a higher accuracy, then the other quantity becomes less accurate.
Mathematically, the product of uncertainty in position(Δx) and uncertainty in momentum(ΔP) is equal to or greater than h/4π
$\Delta x . \Delta P \geq \frac{h}{4 \pi}$
It can be proved mathematically that the uncertainty principle is only significant to subatomic particles but not insignificant for everyday large sized objects.
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