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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A paramagnetic material has \[{{10}^{28}}\] atoms/ \[{{m}^{3}}.\] Its susceptibility at temperature 350 K is \[2.8\times {{10}^{-4}}.\] Its susceptibility at 300 K is:

    A) \[3.267\times {{10}^{-4}}\]      

    B) \[3.672\times {{10}^{-4}}\]

    C) \[3.726\times {{10}^{-4}}\]                  

    D) \[2.672\times {{10}^{-4}}\]

    Correct Answer: A

    Solution :

    For Paramagnetic materials \[\chi \times \frac{1}{R}\]
    \[\frac{{{\chi }_{1}}}{{{\chi }_{2}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\]
    \[\Rightarrow \]   \[{{\chi }_{2}}=\frac{{{T}_{1}}}{{{T}_{2}}}\times {{\chi }_{1}}=\frac{350}{300}\times 2.8\times {{10}^{-4}}\]  \[=3.267\times {{10}^{-4}}.\]
               


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