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Q.

The uncertainity in the momentum of a particle is 3.31×10-2kgm s-1. The uncertainity in its position is (in metres)

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a

0.4×10-20

b

3.3×10-24

c

0.33×10-30

d

1.59×10-33

answer is A.

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Detailed Solution

detailed_solution_thumbnail
\large \Delta x = \frac{h}{{4\pi }} \times \frac{1}{{\Delta P}} ; \Delta x = \frac{{6.625 \times 1{0^{ - 34}}}}{{4 \times 3.14}} \times \frac{1}{{3.31 \times 1{0^{ - 2}}}}\

 

\large \ = 1.59 \times 1{0^{ - 33}}m\

 

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The uncertainity in the momentum of a particle is 3.31×10-2kgm s-1. The uncertainity in its position is (in metres)