A) \[1.52\times {{10}^{-4}}m\]
B) \[5.10\times {{10}^{-3}}m\]
C) \[1.92\times {{10}^{-3}}m\]
D) \[3.84\times {{10}^{-3}}m\]
Correct Answer: C
Solution :
[c] By Heisenberg's uncertainty principle \[\Delta x(m\Delta V)=\frac{h}{4\pi }\] \[\Delta {{V}_{acc}}=0.005%\] Or \[\Delta V=\frac{600\times 0.005}{100}=0.03m{{s}^{-1}}\] \[\Delta x\times 9.1\times {{10}^{-31}}\times 0.03=\frac{6.6\times {{10}^{-34}}}{4\times 3.14}\] Hence, \[\Delta x=\frac{6.6\times {{10}^{-34}}}{4\times 3.14\times 0.03\times 9.1\times {{10}^{-31}}}=1.92\times {{10}^{-3}}m\]
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