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Q.

The size of a mircorscopic particle is 1 micron and its mass is 6 × 10–13g. If its position may be measured to within 0.1% of its size, the uncertainity in velocity (in cm–1) is

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a

10-74π

b

10-54π

c

10-5

d

10-8

answer is A.

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Detailed Solution

Δx = 0.1% of it's size= 0.1100×10-4(given size of particle = 1 micron = 10-6 m = 10-4 cm)= 10-7 cm (given m = 6 × 10-13 g)Δx .Δv=h4πxh4π×16×10-13×110-7=6.625×10-274π×16×10-20=1.14π×10-7≈10-74π
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