A) \[0.527\times {{10}^{10}}cm\]
B) \[5.27\times {{10}^{9}}cm\]
C) \[0.527\times {{10}^{-15}}cm\]
D) \[0.527\times {{10}^{-9}}cm\]
Correct Answer: D
Solution :
\[v={{10}^{-4}}cm\,\,{{s}^{-1}}\] \[\therefore \] \[\Delta v=\frac{0.1\times {{10}^{-4}}}{100}\](due to \[1%\] error) \[=1\times {{10}^{-7}}cm\,\,{{s}^{-1}}\] Now, \[\Delta v\cdot \Delta x=\frac{h}{4\pi m}\] \[\therefore \] \[\Delta x=\frac{6.626\times {{10}^{-27}}}{4\times 3.14\times {{10}^{-11}}\times {{10}^{-7}}}\] \[=0.527\times {{10}^{-9}}cm\]
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