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Q.

A particle of mass one microgram is confined to move along one direction (x-axis) within a region 1 mm in extension. What is the uncertanity in its velocity?

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a

3.313 × 10–20 cm–1

b

5.012 × 10–20 cm–1

c

8.325 × 10–20 cm–1

d

5.27 × 10–21 cm–1

answer is D.

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Detailed Solution

Δv=h4πm×1Δxm = 10-6g (1 microgram)Δx = 1mm= 10-1 cmΔv=6.625×10-274×3.14×10-6×110-1= 5.27 × 10–21 cm/s
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