10th Class Science Sources of Energy Question Bank Sources of Energy

  • question_answer
    The surface of some material is radiated in turn, by waves of \[\lambda =3.5\times {{10}^{-7}}m\]and \[\lambda =5.4\times {{10}^{-7}}m\]respectively. The ratio of the stopping potential in the two cases is 2 : 1. The work function of the metal is

    A)  \[1.05\,eV\]  

    B)  \[1.5\,eV\]

    C)  \[2.05\,eV\]

    D)  \[2.5\,eV\]

    Correct Answer: A

    Solution :

                    \[Z=\left( \frac{{{\lambda }_{0}}-{{\lambda }_{1}}}{{{\lambda }_{0}}-{{\lambda }_{2}}} \right)\frac{{{\lambda }_{2}}}{\lambda }\] \[\Rightarrow \]               \[{{\lambda }_{0}}=11\times 8\times {{10}^{-7}}m\]                 \[W=\frac{hc}{{{\lambda }_{0}}}\]                    \[=\frac{6\cdot 6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{11.8\times {{10}^{-7}}\times 1\cdot 6\times {{10}^{-19}}}\]                   \[\mathbf{=1}\mathbf{.05}\,\,\mathbf{eV}\]


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