Q.

If an electron is travelling at 200 m/s within 1 m/s uncertainty, what is the theoretical uncertainty in its position in μm (micrometer)?

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answer is 58.

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Detailed Solution

Δx≈h4πΔp≈h4π×mΔv≈6.63×10−144×3.14×9.1×10−31×1(∵Δv=1m/s)∴ Δx=58μm
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If an electron is travelling at 200 m/s within 1 m/s uncertainty, what is the theoretical uncertainty in its position in μm (micrometer)?