A) \[1.89\,\,eV\]
B) \[2.89\,\,eV\]
C) \[3.89\,\,eV\]
D) \[4.89\,\,eV\]
Correct Answer: A
Solution :
From Planck's law, the energy \[(E)\] of a wave of wavelength \[\lambda \] is \[E=\frac{hc}{\lambda }\] where, \[h\] is Planck's constant, \[c\] is speed of light, and \[\lambda \] is wavelength. Given, \[h=6.625\times {{10}^{-34}}J\text{-}s\] \[c=3\times {{10}^{8}}m/s,\,\,\lambda =6560{\AA}=6560\times {{10}^{-10}}m\], \[1\,\,eV=1.6\times {{10}^{-19}}J\] \[\therefore \] \[E=\frac{6.625\times {{10}^{-34}}\times 3\times {{10}^{8}}}{6560\times {{10}^{-10}}\times 1.6\times {{10}^{-19}}}eV\] \[\Rightarrow \] \[E=1.89\,\,eV\]
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