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In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainty with which the position of the electron can be located is \left ( h=6.6\times 10^{-34}kg\: m^{2}\: s^{-1},mass \: of\: electron, e_{m}=9.1\times 10^{-31}kg \right )

  • Option 1)

    1.52 \times 10^{-4}\: m

  • Option 2)

    5.10 \times 10^{-3}\: m

  • Option 3)

    1.92 \times 10^{-3}\: m

  • Option 4)

    3.84\times 10^{-3}\: m

 

Answers (2)

best_answer

u=600msec−1u=600msec−1

∴Δu=600×0.005100∴Δu=600×0.005100

⇒0.30msec−1⇒0.30msec−1

Now,Δx.m.Δu=h4πΔx.m.Δu=h4π

Δx=6.6×10−344×3.14×9.1×10−31×0.30Δx=6.6×10−344×3.14×9.1×10−31×0.30

⇒1.92×10−3m⇒1.92×10−3m

 

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