JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    The solution for\[g\text{ }m{{L}^{-1}}\]of the equation \[{{H}_{2}}S{{O}_{4}}\]is.       AIEEE  Solved  Paper-2007

    A)  2                            

    B)         \[=98\text{ }g\text{ }mo{{l}^{-1}}\]                       

    C)         \[{{H}_{2}}A\]         

    D)        \[1.0\times {{10}^{-5}}\]

    Correct Answer: D

    Solution :

    \[\int_{\sqrt{2}}^{x}{\frac{dt}{\sqrt{{{t}^{2}}-1}}=\frac{p}{2}}\] \[\Rightarrow \]\[[{{\sec }^{-1}}t]_{\sqrt{2}}^{x}=\frac{\pi }{2}\] \[\Rightarrow \]\[{{\sec }^{-1}}x-\frac{\pi }{4}=\frac{\pi }{2}\] \[\Rightarrow \]\[{{\sec }^{-1}}x=\frac{3\pi }{4}\] \[\Rightarrow \]\[x=-\sqrt{2}\]


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