In an atom, an electron is moving with a speed of 600m/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)
1.52×10−4m
5.01×10−3m
1.92×10−3m
3.84×10−3m
A
1.52×10−4m
B
1.92×10−3m
C
5.01×10−3m
D
3.84×10−3m
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Solution
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Step 1: Heisenberg's uncertainty prinicple
ΔxΔp≥h4π
Δx×mΔv≥h4π
Δx≥h4πmΔv....(1)
Step 2: Certainity in the Position of electron (Δx)
Here,Δv=0.005% of 600m/s=0.005100×600=0.03m/s
Put all values in (1)
Δx≥6.6×10−34Js4×3.14×9.1×10−31kg×0.03m/s
Δx≥1.9248×10−3m
Hence, Option (C) is correct
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Q1
In an atom, an electron is moving with a speed of 600m/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)
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Q2
In an atom, an electron is moving with a speed of 600m/s with an accuracy of 0.005 %. Certainity with which the position of the electron can be located is
(h=6.6×10−34kgm2s−1,mass of electron, em=9.1×10−31kg)