Quantum mechanics is the discipline of measurements on the minuscule scale. That measurements are in macro and micro-physics can lead to very diverse consequences. Heisenberg uncertainty principle or uncertainty principle is a vital concept in Quantum mechanics. The uncertainty principle says that both the position and momentum of a particle cannot be determined at the same time and accurately. The result of position and momentum is at all times greater than h/4π. The formula for Heisenberg Uncertainty principle is articulated as,
Where
h is the Planck’s constant ( 6.62607004 × 10-34 m2 kg / s)
Δp is the uncertainty in momentum
Δx is the uncertainty in position
Heisenberg Uncertainty Principle Problems
We’ll go through the questions of the Heisenberg Uncertainty principle.
Solved Example
Example 1: The uncertainty in the momentum Δp of a ball travelling at 20 m/s is 1×10−6 of its momentum. Calculate the uncertainty in position Δx? Mass of the ball is given as 0.5 kg.
Answer:
Known numerics are,
v = 20 m/s,
m = 0.5 kg,
h = 6.62607004 × 10-34 m2 kg / s
Δp =p×1×10−6
As we know that,
P = m×v = 0.5×20 = 10kg m/s
Δp = 10×1×10−6
Δp = 10-5
Heisenberg Uncertainty principle formula is given as,
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