A) \[1.93cm\]
B) \[3.84cm\]
C) \[5.76cm\]
D) \[7.68cm\]
Correct Answer: A
Solution :
[a]Given mass of an electron (m) \[=9.1\times {{10}^{-28}}g;\] |
Velocity of electron (v) \[=3\times {{10}^{4}}cm/s\] |
Accuracy in velocity \[=0.001%=\frac{0.001}{100}\] |
Actual velocity of the electron\[(\Delta x)=3\times {{10}^{4}}\times \frac{0.0001}{100}=0.3cm/s\] |
Planck?s constant (h)\[=6.626\times {{10}^{-27}}erg-\sec .\] |
\[\therefore \]Uncertainty in the position of the electron \[(\Delta x)=\frac{h}{4\pi m\Delta v}\] |
\[=\frac{6.626\times {{10}^{-27}}\times 7}{4\times 22\times \left( 9.1\times {{10}^{-28}} \right)\times 0.3}\] |
\[=1.93cm\] |
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