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Q.

Uncertainty in the position of an electrons (mass = 9.1×1031kg) moving with a velocity 300m  s1,accurate up to 0.001% will be

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a

3.84×101m

b

19.2×102m

c

5.76×102m

d

1.92×102m

answer is D.

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Detailed Solution

p=mυ=(9.1×1031kg)(300m  s1)=27.3×1029kg  m   s1

            Δp=(0.001%)p=(105)(27.3×1029kg  m  s1)=27.3×1034kg  m  s1

            Δx=1Δp(h4π)=1(27.3×1034kg  m   s1)(6.626×1034J  s4×3.14)=0.0192m

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