The uncertainty in the location of circulating electron is equal to its de Broglie wavelength. The minimum percent error in its measurement of velocity under this circumstances will be approximately
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a
4
b
8
c
18
d
22
answer is B.
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Detailed Solution
Let the electron be moving with momentum, p, its wavelength will be equal to h/p.λ=hp=∆xFrom Heisenberg's uncertainty principle,Δx × Δp = h4πΔpp= 14πMinimum percent error in measuring its velocity would be100 × Δvv = Δpp× 100 =1004π=1004×3.14 =7.96 ≈ 8