Calculate the uncertainty in the velocity of a wagon of mass 3000 kg. whose position is known to an accuracy of $\pm 10 p m$ .

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Solution

By Heisenberg's Uncerainty Principle,
$Δ n . m Δ v \geq \frac{h}{4 x}$
$\Rightarrow Δ v = \frac{h}{4 π m Δ x}$
$= 1.75 \times 10^{- 27} m / s$

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Calculate the uncertainty in the velocity of a wagon of mass 3000 kg. whose position is known to an accuracy of ±10pm.

By Heisenberg's Uncerainty Principle,Δn.mΔv≥h4x⇒Δv=h4πmΔx=1.75×10−27m/s

Calculate the uncertainty in the velocity of a wagon of mass 3000 kg. whose position is known to an accuracy of $\pm 10 p m$ .

By Heisenberg's Uncerainty Principle,
$Δ n . m Δ v \geq \frac{h}{4 x}$
$\Rightarrow Δ v = \frac{h}{4 π m Δ x}$
$= 1.75 \times 10^{- 27} m / s$