A) \[4\times {{10}^{1}}\]
B) \[3\times {{10}^{7}}\]
C) \[2\times {{10}^{-25}}\]
D) \[5\times {{10}^{-18}}\]
Correct Answer: A
Solution :
\[\Rightarrow \] \[Frequency=\frac{velocity\text{ }of\text{ }light\text{ }(c)}{wavelength\,(\lambda )}\] Given, frequency\[=8\times {{10}^{15}}{{s}^{-1}}\] velocity of light\[=3.0\times {{10}^{8}}m{{s}^{-1}}\] \[\therefore \] \[8\times {{10}^{15}}=\frac{3\times {{10}^{8}}}{\lambda }\] or \[\lambda =\frac{3\times {{10}^{8}}}{8\times {{10}^{15}}}=0.375\times {{10}^{-7}}m\] \[=3.75\times {{10}^{1}}nm\] \[\approx 40\,nm\]
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