Ncert Exercises & Solutions

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

If uncertainty principle is applied to an object of mass, say about a milligram (10^-6 kg), then

∆ v \cdot ∆ x = \frac{h}{4 πm}

∆ v \cdot ∆ x = \frac{6.626 \times 10^{- 34} kg m^{2} s^{- 1}}{4 \times 3.14 \times 10^{- 6} kg}

= 0.52 \times 10^{- 28} m^{2} s^{- 1}

The value of

∆ v \cdot ∆ x

obtained is extremely small and is insignificant. Therefore, for milligram-sized or heavier objects, the associated uncertainties are hardly of any real consequence.

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