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If an electron is moving with …

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If an electron is moving with a velocity of 600m/s which is accurate upto 0.005% then calculate the uncertainty in its position. (h=6.626×10^-34 j/s and mass of electron =9.11×10^-31)

Posted by Deepak Sharma 5 years, 9 months ago

CBSE > Class 11 > Chemistry

1 answers

Mr. Singh 5 years, 9 months ago

By Heisenberg's uncertainty principle, Δx.mΔv =h/4π .ΔVacc =0.005% OR Δv=600✖0.005/100 = 0.03m/s^-1 Δx✖9.1✖10^-31✖0.03 = 6.6✖10^-34/4✖3.14 Hence, Δx = 6.6✖10^-34 / 4✖3.14✖0.03✖9.1✖10^-31 = 1.92✖10^-3 m.

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