AIIMS AIIMS Solved Paper-2007

  • question_answer
    An X-ray pulse of wavelength 4.9 \[{{L}_{A}}={{L}_{B}}\] is sent through a section of Wilson cloud chamber containing a super saturated gas, and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths 1.40 cm and 2.02 cm are noted. If the range-energy relation for cloud chamber is given by \[R=\alpha \,E\] with \[{{L}_{B}}\] = 1 cm/keV, obtain the binding energies of the two levels from which electrons   are   emitted.   Given\[h=6.63\,\times {{10}^{-34}}\,J-s,\,\,e=1.6\times {{10}^{-19}}J\].

    A)  0.52 keV                             

    B)  0.75 eV               

    C)                        0.52 eV               

    D)        0.75 keV

    Correct Answer: A

    Solution :

    Binding energy,  \[{{T}_{n}}=2{{T}_{i}}\] where   \[{{T}_{n}}={{T}_{i}}-T\] Here, \[{{T}_{n}}={{T}_{i}}+T\] \[\beta \] \[\Omega \] For cloud chamber, the range-energy relation is \[\Omega \]  or \[\Omega \] \[\Omega \]  \[\Omega \] and \[\phi \] Energy of the incident photon \[\phi ={{\phi }_{0}}+4t\] \[\phi \] \[{{\phi }_{0}}\] From Einsteins photoelectric equation \[\frac{T}{4}\] \[\frac{T}{8}\]  Binding energy, \[\frac{T}{12}\] or \[\frac{T}{2}\] \[=1.14\,keV\] and   \[\lambda \] \[{{\left( \frac{1}{2} \right)}^{2}}\]


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