A) \[1.05\times {{10}^{-28}}\,m\]
B) \[1.05\times {{10}^{-26}}\,m\]
C) \[5.27\times {{10}^{-30}}\,m\]
D) \[5.25\times {{10}^{-28}}\,m\]
Correct Answer: C
Solution :
| According to Heisenberg uncertainty principle: |
| \[\Delta p\times \Delta x\ge \frac{h}{4\pi }\] |
| \[1\times {{10}^{-5}}\times \Delta x=\frac{6.62\times {{10}^{-34}}}{4\times \frac{22}{7}}\] |
| \[\Delta x=\frac{6.62\times {{10}^{-34}}\times 7}{1\times {{10}^{-5}}\times 22}=5.265\times {{10}^{-30}}\,m\] |
| \[\approx \,5.27\times {{10}^{-30}}\,m\] |
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