A) \[0.725\,\,\times \,\,10{{\,}^{-~6}}m\]
B) \[0.345\,\,\times \,\,{{10}^{-5}}\,m\]
C) \[0.967\times {{10}^{-5}}\,m\]
D) \[0.567\times 10{{~}^{-5}}m\]
Correct Answer: A
Solution :
\[KE\,\,=\,\,\frac{1}{2}m{{v}^{2}}\,\,=\,\,4.55\times {{10}^{-25}}\] \[\frac{1}{2}\times 9.1\times {{10}^{-}}^{31}\,\times {{v}^{2}}=4.55\times {{10}^{-}}^{25}\] \[{{v}^{2}}\,\,=\,\,\frac{4.55\times {{10}^{-25}}\,\times 2}{9.1\,\,\times \,\,{{10}^{-31}}}\] \[v={{10}^{3}}m{{s}^{-1}}\] \[\lambda =\frac{h}{mv}\,=\,\frac{6.6\times {{10}^{-34}}\times \,\,2}{9.1\times {{10}^{-31}}\,\times \,\,{{10}^{3}}}\] \[=\text{ }0.725\,\,\times \,\,{{10}^{-\,6}}\,m\]You need to login to perform this action.
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