A) \[2.5\times {{10}^{10}}\]
B) \[2.5\times {{10}^{11}}\]
C) \[2.5\,\,\times \,\,{{10}^{12}}\]
D) \[2.5\,\,\times \,\,{{10}^{9}}\]
Correct Answer: A
Solution :
\[\lambda \,\,=\,\,5000\,\overset{{}^\circ }{\mathop{A}}\,\] Energy received per second \[=\,\,{{10}^{-}}^{\,8}J/sec\] \[\therefore \] Energy of one photon is \[E=hv=hc/\lambda \], \[=\,\,\frac{6.63\times {{10}^{-34}}\times 3\times {{10}^{8}}}{5000\times {{10}^{-10}}}\,\,=\,\,3.99\times {{10}^{-19}}J\] \[\therefore \] Number of photon received per second \[=\frac{Energy\text{ }received\text{ }per\text{ }second}{Energy\text{ }of\text{ }one\text{ }photon}\] \[=\,\,\frac{{{10}^{-8}}}{3.99\text{ }\times {{10}^{-}}^{19}}\,\,=\,\,2.5\times {{10}^{10}}\]
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