JEE Main & Advanced JEE Main Paper (Held on 12-4-2019 Morning)

  • question_answer
    The stopping potential \[{{V}_{0}}\](in volt) as a function of frequency (v) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be:
    (Given : Planck's constant\[\left( h \right)=6.63\times {{10}^{34}}Js,\]electron charge \[e=1.6\times {{10}^{19}}C\])
                                                    [JEE Main Held on 12-4-2019 Morning]

    A) 1.95 eV

    B)               1.82 eV

    C) 1.66 eV

    D) 2.12 eV

    Correct Answer: C

    Solution :

                \[h\text{v=}\phi \,\text{+}\,\text{e}{{\text{v}}_{0}}\]           \[{{\text{v}}_{0}}=\frac{h\text{v}}{e}-\frac{\phi }{e}\]\[{{\text{v}}_{0}}\]is zero for \[\text{v}=4\times {{10}^{14}}Hz\] \[0=\frac{h\text{v}}{e}-\frac{\phi }{e}\Rightarrow \phi =h\text{v}\] \[=\frac{6.63\times {{10}^{-34}}\times 4\times {{10}^{14}}}{1.6\times {{10}^{-19}}}=1.66e\text{v}.\]           


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