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ChemistryMediumMCQ2009 · Unknown

Q31.In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is (h = 6.6 × 10−34 kg m2 s−1 , mass of electron, em = 9.1 × 10−31 kg ) (1) 1.52 × 10−4 m (2) 5.10 × 10−3 m (3) 1.92 × 10−3 m (4) 3.84 × 10−3 m

What This Question Tests

This question tests the application of Heisenberg's Uncertainty Principle to calculate the minimum uncertainty in position, given the electron's speed and percentage accuracy.

Concepts Tested

Heisenberg's Uncertainty Principleuncertainty in velocityuncertainty in position

Formulas Used

Δx ⋅ mΔv ≥ h / (4π)

Δv = v * (percentage accuracy / 100)

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