MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryAtomic StructureIntro
[Manipal 2009] The uncertainty in position of an electron (m = 9.1 × 10⁻²⁸ g) moving with velocity 3.0 × 10⁴ cm s⁻¹ accurate to 0.011% will be (h = 6.626 × 10⁻²⁷ erg·s)
0.1.92 cm
1.7.66 cm
2.0.176 cm
3.3.84 cm
Explanation
Δv = 0.011% of 3.0 × 10⁴ = 3.3 cm/s. Δx = h/(4π·m·Δv) = 6.626×10⁻²⁷/(4×3.14×9.1×10⁻²⁸×3.3) ≈ 0.176 cm
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