Why is the uncertainty principle not apparent for macroscopic objects?
Answers
Answered by
26
Therefore, macroscopic objects does not obeys the uncertainty principle. The same cannot be said of microscopic objects because their wave-like properties become dominant. It's not possible to get a clear value of position and momentum at the same time for a wave, hence the uncertainty principle comes into play.
Answered by
15
By Heisenberg's principle,
∆x.∆p >=h/(4π)
Where ∆p=m∆v [For slow moving particles wrt light speed]
From the formula, with increase in momentum, the uncertainty of its position decreases. So for maximum position certainty, the momentum should be very low.
Now take mass m as low as 1gm and change in velocity ∆v 0.01m/s so that the momentum is very low.
Given, Planck's constant h=6.62x10^-34 SI units.
Now calculate the uncertainty in position yourself. See the magnitude of the value. You have got the answer yourself.
Still not satisfied??? Take lower values of m & ∆v and calculate the uncertainty in position each time.
Now take m=9.1x10^-31 kg and ∆v=2.2x10^6 m/s and calculate the uncertainty. Its still small, in the order of angstrom, but it is a huge uncertainty for the subatomic particles.
Hope it helps...:)
∆x.∆p >=h/(4π)
Where ∆p=m∆v [For slow moving particles wrt light speed]
From the formula, with increase in momentum, the uncertainty of its position decreases. So for maximum position certainty, the momentum should be very low.
Now take mass m as low as 1gm and change in velocity ∆v 0.01m/s so that the momentum is very low.
Given, Planck's constant h=6.62x10^-34 SI units.
Now calculate the uncertainty in position yourself. See the magnitude of the value. You have got the answer yourself.
Still not satisfied??? Take lower values of m & ∆v and calculate the uncertainty in position each time.
Now take m=9.1x10^-31 kg and ∆v=2.2x10^6 m/s and calculate the uncertainty. Its still small, in the order of angstrom, but it is a huge uncertainty for the subatomic particles.
Hope it helps...:)
Similar questions
Hindi,
7 months ago
English,
7 months ago
Physics,
1 year ago
Biology,
1 year ago
Social Sciences,
1 year ago