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Question: According to Heisenberg’s uncertainty principle, the more we know about a particle’s momentum, the l...

According to Heisenberg’s uncertainty principle, the more we know about a particle’s momentum, the less we know about what?

Explanation

Solution

Heisenberg's uncertainty principle is also known as the uncertainty principle. The Heisenberg uncertainty principle forms a part of quantum mechanics. Numerically Heisenberg principle can be written as ΔX×Δph4π\Delta X \times \Delta p \geqslant \dfrac{h}{{4\pi }}, the uncertainty in that variable is denoted by Δ\Delta , change in position is ΔX\Delta X, change in momentum is Δp\Delta p and hh is the Planck’s constant. Heisenberg’s principle applies on the dual-natured microscopic particles, not on the macroscopic particle, to whom wave nature is small.

Complete answer:
According to Heisenberg's principle the more precisely one measures the position of a particle and the less accurately, its velocity (momentum or motion) will be known similarly the more accurately we measure the velocity and the less precisely you can know the position of the particle.
Dual nature of a wave particle was the main reason behind the origin of the uncertainty principle. When undulations of the wave are greatest, the probability of finding particles is maximum. Wavelength helps in determining the momentum of the particle and the more undulation of the particle, the wavelength becomes more ill-defined. So this showed that particles having a definite position, have no certain velocity. Precise velocity is given by the particle having a well-defined wavelength. Therefore accurate measurement of a quantity leads to large uncertainty in the measurement of the other quantity.
So according to Heisenberg’s uncertainty principle, the more we know about a particle’s momentum, the less we know about the position of the particle.

Note:
The position and momentum of an electron cannot be measured concurrently.
Uncertainty principle is more significant for only macroscopic particles. To make a change in the velocity or momentum of the bigger particles when the collision takes place between them, the energy of a photon is insufficient.