A) \[6.6\times {{10}^{-34}}m\]
B) \[4.39\times {{10}^{-10}}m\]
C) \[7.34\times {{10}^{-11}}m\]
D) \[2.335\times {{10}^{-20}}\,m\]
Correct Answer: C
Solution :
\[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3\times 8.314\times 298}{4\times {{10}^{-3}}}}=1363\,m{{s}^{-1}}\] \[\lambda =\frac{h}{mv}\] \[=\frac{6.626\times {{10}^{-34}}\times 6.023\times {{10}^{23}}}{4\times {{10}^{-3}}\times 1363}\] \[=7.32\times {{10}^{-11}}m\]
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