JEE Main & Advanced JEE Main Solved Paper-2014

  • question_answer
    The radiation corresponding to \[3\to 2\]transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \[3\times {{10}^{-4}}T.\]If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to:   JEE Main  Solved  Paper-2014

    A) 0.8 eV                  

    B) 1.6 eV

    C) 1.8 eV                  

    D) 1.1 eV

    Correct Answer: D

    Solution :

    \[r=\frac{mv}{eB}=\frac{\sqrt{2mEp}}{eB}\] [E = electron?s K.E.] [m = electron mass, e = electron charge] \[E={{E}_{p}}-\phi \]\[{{E}_{p}}=\]photon energy = 1.9 eV. \[\Rightarrow \]\[{{(reB)}^{2}}=2m[{{E}_{p}}-\phi ]\Rightarrow \phi ={{E}_{p}}-\frac{{{(reB)}^{2}}}{2m}\] \[\Rightarrow \]\[\phi =1.9eV-\frac{{{10}^{-4}}\times 1.6\times {{10}^{-19}}\times 9\times {{10}^{-8}}}{2\times 9.1\times {{10}^{-31}}}\] \[\simeq 1.9eV-0.79V=1.1eV\]


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