A) \[1\times {{10}^{19}}\]
B) \[1\times {{10}^{20}}\]
C) \[1\times {{10}^{21}}\]
D) \[1\times {{10}^{23}}\]
E) \[1\times {{10}^{22}}\]
Correct Answer: C
Solution :
Given, power = 600 W \[\lambda =331.3\text{ }nm=331.3\times {{10}^{-9}}m\] \[h=6.626\times {{10}^{-34}}J\] \[c=3\times {{10}^{8}}m{{s}^{-1}}\] \[t=1\text{ }s\] \[Power=\frac{energy}{time}\] \[=\frac{nhv}{t}=\frac{nhc}{\lambda t}\] or \[n=\frac{power\times \lambda t}{hc}\] \[=\frac{600\times 331.3\times {{10}^{-9}}\times 1}{6.626\times {{10}^{-34}}\times 3\times {{10}^{8}}}\] \[n=1\times {{10}^{21}}\]
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