If an electron is moving along x-axis and its speed is measured to be 2.05×106 ms−1, which can be known with precision of 0.5%. The minimum uncertainty in its position along x-axis is nearly

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If an electron is moving along x-axis and its speed is measured to be $2.05 \times 10^{6} {ms}^{- 1}$ , which can be known with precision of 0.5%. The minimum uncertainty in its position along x-axis is nearly

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11 nm

55 nm

22 nm

Zero

answer is A.

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Detailed Solution

$∆ v = 0.005 \times 2.05 \times 10^{- 6} m / s$

$(Δx) (Δp) = \frac{h}{2 π}$

$(Δx) = \frac{h}{2 πm (Δv)}$

$(Δx) = 11.3 \times 10^{- 9} m$

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