JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    The set of points of differentiability of the function \[T\propto {{V}^{2}}\] is

    A) R                                            

    B) \[T\propto \frac{1}{{{V}^{2}}}\]

    C) \[T\propto \frac{1}{V}\]               

    D) \[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

                    The  given  function  is  differentiable  at \[\frac{\pi }{2}\]. Now. we check the differentiability at\[n'=\left( \frac{v+{{v}_{0}}}{v-{{v}_{s}}} \right)n\]. \[n'=\left( \frac{340+20}{340-20} \right)\times 240\]       \[n'=\left( \frac{360+240}{320} \right)=270Hz\] \[=\text{2}\times {{\left( \text{1}0\times \text{1}{{0}^{-\text{2}}} \right)}^{\text{2}}}{{\text{m}}^{\text{2}}}\] \[=\text{2}\times {{10}^{\text{-2}}}{{\text{m}}^{\text{2}}}\] \[E=e\sigma A{{T}^{4}}\] \[{{T}^{4}}=\frac{E}{e\sigma A}\]


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