A) \[3.2\times {{10}^{-6}}\]
B) \[5\times {{10}^{17}}\]
C) \[2\times {{10}^{17}}\]
D) \[2\times {{10}^{18}}\]
Correct Answer: B
Solution :
From Einstein's theory, the energy of a photon is given by \[E=hv\] where h is Planck's constant and v is frequency. Also, \[1\,eV=1.6\times {{10}^{-19}}\text{J}\] i.e., \[E=2\times {{10}^{3}}\times 1.6\times {{10}^{-19}}\] \[=3.2\times {{10}^{-6}}\text{J}\] \[\therefore \] \[v=\frac{E}{h}=\frac{3.2\times {{10}^{-16}}}{6.6\times {{10}^{-34}}}=5\times {{10}^{17}}\] per sec.
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