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Question

Uncertainties in the measurement of position and in momentum for an electron is Δx and Δp respectively. It is given that the uncertainty in the measurement of velocity is 7.98×106m/s. Which of the following is correct?
[Given:h/4π=0.527×1034]

A
ΔpΔx1010
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B
ΔpΔx1020
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C
ΔpΔx1012
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D
ΔxΔp106
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Solution

The correct option is C ΔpΔx1012
Δx.Δph4π
According to question,
Δx.m.Δv=0.527×1034

Δx=0.527×10349.1×1031×7.98×106

=0.527×10347.26×1018
=7.25×1012

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