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Heisenberg’s uncertainty principle - (Concept)
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
It can be proved mathematically that the uncertainty principle is only significant to subatomic particles but not insignificant for everyday large sized objects.
| Exam | Chapter |
| JEE MAIN | Atomic Structure |
A ball weighing 10g is moving with velocity of 90ms-1. If the uncertainty in its velocity is 5%, the uncertainty in its position is _______. (Rounded off to the nearest integer)
[Given : ]
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The uncertainty in momentum of an electron is . The uncertainty in its position will be
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If the uncertainty in velocity and position of a minute particle in space are, respectively. The mass of the particle in
is____________.(Nearest integer)
(Given : )
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The minimum uncertainty in the speed of an electron in a one-dimensional region of length
is _____________
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An accelerated electron has a speed of with an uncertainty of
The uncertainty in finding its location while in motion is
. The value of
is _________.(Nearest integer)
[Use mass of electron
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Uncertainty in the position of an electron moving with a velocity
, accurate upto 0.001% is approximately
. The value of
is
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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
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Uncertainty in position of a minute particle of mass 25g in space is . What is the uncertainty in its velocity
?
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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.
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It states that it is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron.
