The effect of the uncertainty principle
Question:

The effect of the uncertainty principle is significant only for the motion of microscopic particles and is negligible for the macroscopic particles. Justify the statement with the help of a suitable example.

Solution:

The uncertainty principle is only significantly applicable for microscopic particles and not macroscopic particles this can be concluded from the measurement of uncertainty:

For example, if we take a particle or an object of mass 1 milligram i.e. 10-6 kg )

We calculate the,

∆x. ∆ν = 60626*10-34/ 4*3.14*10-6

= 10-28 m-2 s -1

The value we got is negligible and very insignificant for the uncertainty principle to apply to the particle.

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