Verified Solution • 2025–26 Session moderate

QJEEM09Ch5ac5: JEE Main 2009 Chemistry - Class 11 JEEM09Ch5ac5 Solution: In an atom, an electron is moving with a speed of 600 m/s with…

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 m2s-1, mass of electron, em = 9.1 × 10-31 kg)

Multiple Choice Options

  • A 5.10 × 10-3 m
  • B 1.92 × 10-3 m
  • C 3.84 × 10-3 m
  • D 1.52 × 10-4 m

Step-by-Step Verified Solution

% error in velocity = ΔVV×100

∴ 0.005 = ΔV600×100

⇒ ΔV = 3 × 10-2

According to Heisenberg uncertainty principle,

Δx.mΔV≥h4π

⇒ Δx=h4πmΔV

⇒ Δx=6.63×10−344×3.14×9.1×10−31×3×10−2

             = 1.92 × 10-3 m

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