A) \[1.58\times {{10}^{-34}}\,m\]
B) \[1.46\times {{10}^{-33}}\,m\]
C) \[2.45\times {{10}^{-24}}\,m\]
D) \[3.48\times {{10}^{-31}}\,m\]
Correct Answer: B
Solution :
| [b] Uncertainty in the speed of ball |
| \[=\frac{90\times 4}{100}=\frac{360}{100}=3.6\,m{{s}^{-1}}\] |
| Uncertainty in position \[=\frac{h}{4\pi m\Delta V}\] |
| \[=\frac{6.626\times {{10}^{-34}}\,JS}{4\times 3.14\times 10\times {{10}^{-3}}\,kg{{g}^{-1}}\times 3.6\,m{{s}^{-1}}}\] |
| \[=1.46\times {{10}^{-33}}\,m\] |
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