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Question

The mass of a particle is 1010 g and its radius is 2×104 cm.If its velocity is 106 cm s1 with 0.0001% uncertainity in measurement, the uncertainity in its position is:
  1. 5.2×107 m
  2. 5.2×106 m
  3. 5.2×109 m
  4. 5.2×108 m


Solution

The correct option is D 5.2×108 m
m=1010g=1013kgΔv=0.0001100×106×102=1014m/s=Δx.Δp=h4πΔx=h4πΔp=h4πmΔvBy subtituting the values we get,=6.62×10344×3.14×1013×1014Δx=5.2×108m

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