BHU PMT BHU PMT Solved Paper-2004

  • question_answer
    If the work function of a photo metal is 6.875 eV, its threshold wavelength will be: (Take \[c=3\times {{10}^{8}}\,\,m/s\])                                                                                                                   [BHU PMT-2004]

    A)  3600 \[\overset{\circ }{\mathop{\text{A}}}\,\]                 

    B)  2400 \[\overset{\circ }{\mathop{\text{A}}}\,\]

    C)  1800 \[\overset{\circ }{\mathop{\text{A}}}\,\]                 

    D)  1200 \[\overset{\circ }{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

                     The minimum energy required for the emission of photoelectron from a metal is called work function of that metal,                                                                 \[W=\frac{hc}{\lambda }\] Where \[h\] is Planck?s constant, \[c\] is speed of light \[\lambda \] is wavelength. \[\Rightarrow \lambda =\frac{hc}{W}\]                                 \[=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{6.825\times 1.6\times {{10}^{-19}}}\]                                 \[=1.8\times {{10}^{-7}}\]                                 \[=1800\times {{10}^{-10}}m\]                                 \[=1800\]Å


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