question_answer 25)

Find the energy of each of the photons which (i) corresponds to the light of frequency \[3\times {{10}^{15}}\] Hz, (ii) has wavelength of 0.50\[\overset{{}^\circ }{\mathop{\text{A}}}\,\].

Answer:

(i) \[E=hv\] \[=(6.626\times {{10}^{-34}}Jsec)\times (3\times {{10}^{15}}se{{c}^{-1}})\] \[=1.9878\times {{10}^{-18}}J\] (ii) \[E=\frac{hc}{\lambda }=\frac{(6.626\times {{10}^{-34}}\,J\,\sec )\times (3\times {{10}^{8}}\,m\,{{\sec }^{-1}})}{0.5\times {{10}^{-10}}\,m}\]