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Question

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


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Solution

Step 1: Given data

Mass of the wagon =3000kg

Accuracy = 10pm

Step 2: Formula used

By Heisenberg’s Uncertainty Principle,

Δx×mΔvh4π

Where, v is the error in the measurement of velocity, x is the error in the measurement of position, m is the mass of the particle, and, h is the Plank's constant.

Step 3: Calculation of uncertainty principle

Substitute the given values in the formula.

Δx×mΔvh4π

Δv=h4πmΔx

1.75×1027ms-1

Therefore, the uncertainty principle is 1.75×1027ms-1.


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