A) \[1.657\pi \times {{10}^{-43}}m/s\]
B) \[\frac{6.6}{\pi }\times {{10}^{-45}}m/s\]
C) \[\frac{{{10}^{-23}}}{\pi }m/s\]
D) \[\frac{{{10}^{-26}}}{\pi }m/s\]
Correct Answer: C
Solution :
: According to uncertainty principle \[\Delta x.m\Delta v=\frac{h}{4\pi }\] \[\therefore \]\[\Delta v=\frac{h}{4\pi \Delta x.m}=\frac{6.62\times {{10}^{-34}}\times 1000}{4\times \pi \times 1.65\times {{10}^{-10}}\times 100}\] \[=\frac{1.003\times {{10}^{-23}}}{\pi }m/s\]
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