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JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    A value of C for which the conclusion of Mean Value Theorem holds for the function\[n=3,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\] \[OH...N\] the interval [1, 3] is       AIEEE  Solved  Paper-2007

    A)  \[FH...F\]           

    B)         \[OH...O\]         

    C)         \[OH...F\]                          

    D)         \[2Al(s)+6HCl(aq)\xrightarrow[{}]{{}}2A{{l}^{3+}}(aq)\]

    Correct Answer: A

    Solution :

    Using mean value theorem, \[\therefore \]\[f'(c)=\frac{f(3)-f(1)}{3-1}\Rightarrow \frac{1}{c}=\frac{\log 3-\log 1}{2}\] \[\Rightarrow \]\[c=\frac{2}{{{\log }_{e}}3}=2{{\log }_{3}}e\]


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