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An electron has a speed of 500 m with an uncertainty of 0.02%. What is the uncertainty in locating its position? |
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Answer» rmine: The uncertainty in locating the POSITION of an electron Given Data : Speed of Electron = 500 m/s, Uncertainty in Speed = 0.02% Formulas to be used: 1) Heisenberg uncertainty principle: Where = uncertainty in position = uncertainty in momentum Planck's constant, h\quad 2) For CALCULATING \Delta p Where m is the mass of electron = uncertainty in speed Calculation: Step 1: Determine Step 2: CALCULATE We KNOW that, Substituting the values of m and (OBTAINED from step 1), we get Step 3: Apply Heisenberg uncertainty principle Hence, |
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