Q.

In 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 ish=6.6×10-34 kg m2 s-1, mass of electron, em=6.6×10-31 kg

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a

1.52×10-4 m

b

5.10×10-3 m

c

1.92×10-3 m

d

3.84×10-3 m

answer is C.

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Detailed Solution

By Heisenberg's uncertainty principleΔx·mΔv=h4πΔv=0.005% of 600 m/s=600×0.005100=0.03Δx×9.1×10-31×0.03=6.6×10-344×3.14 Hence, Δx=6.6×10-344×3.14×0.03×9.1×10-31=1.92×10-3 m
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