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Q.

Uncertainty in the position of an electron mass = 9.1  ×  10−31kg moving with a velocity 300  ms−1, accurate up to 0.001% will be h=6.63  ×  10−34  Js

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a

19.2  ×  10−2 m

b

5.76  ×  10−2m

c

1.92  ×  10−2m

d

3.84  ×  10−2m

answer is C.

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Detailed Solution

Δx=h4πmΔuwhere , Δx = Uncertanity in position =?Δu =Uncertanity in velocity = 0.001% in 300 m/s = 0.001×300100Δx=6.626  ×  10−34 × 1004 ×3.14 ×9.1 ×  10−31×  0.001 ×300      =1.93  ×  10−2m
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