A) \[5.10\times {{10}^{-3}}m\]
B) \[1.92\times {{10}^{-3}}m\]
C) \[3.84\times {{10}^{-3}}m\]
D) \[1.52\times {{10}^{-4}}m\]
Correct Answer: B
Solution :
[b] According to Heisenberg uncertainty principle. \[\Delta x.m\Delta v=\frac{h}{4\pi }\] \[\Delta x=\frac{h}{4\pi m\Delta v}\] Here \[\Delta v=\frac{600\times 0.005}{100}=0.03\] So, \[\Delta x=\frac{6.6\times {{10}^{-34}}}{4\times 3.14\times 9.1\times {{10}^{-31}}\times 0.03}\] \[=1.92\times {{10}^{-3}}\]
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