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Q.

Uncertainity in position of a minute particle of mass 25g in space is 10-5m . What is the uncertainity in its velocity (in m s-1) ? 

6.6×10-34 Js

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a

0.5×10-34

b

2.1×10-34

c

2.1×10-28

d

0.5×10-23

answer is C.

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Detailed Solution

detailed_solution_thumbnail
\large \Delta v = \frac{h}{{4\pi m}} \times \frac{1}{{\Delta x}} \

 

\large \ = \frac{{6.625 \times 1{0^{ - 34}}}}{{4 \times 3.14 \times 25 \times 1{0^{ - 3}}}} \times \frac{1}{{1{0^{ - 5}}}}\

 

                                                                      

\large \ = 2.1 \times 1{0^{ - 28}}m/s\

 

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