JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    If the radius of a coil is changing at the rate of \[1\mu V\]units in a normal magnetic field \[\text{1}.\text{96}\times \text{1}{{0}^{-\text{8}}}\text{ m}/\text{s}\] units, the induced emf is \[\text{2}.\text{12}\times \text{1}{{0}^{\text{8}}}\text{ m}/\text{s}\]. What is the final radius of the coil?

    A) 1.6 cm

    B) 16 cm  

    C) 12 cm

    D) 1.2 cm

    Correct Answer: A

    Solution :

                    Induced emf is given by \[T\propto {{V}^{2}}\]   \[T\propto \frac{1}{{{V}^{2}}}\] \[T\propto \frac{1}{V}\] \[\text{6}\times \text{1}{{0}^{-\text{7}}}\text{A}-{{\text{m}}^{\text{2}}}\]                         ??? (i) We have,\[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\] units \[\text{8}\text{.3}\times \text{1}{{0}^{\text{6}}}\]units and \[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\] Putting these values in Eq. (i), \[\text{3}\times \text{1}{{0}^{-\text{6}}}\]          \[CaC{{l}_{2}}\] \[\text{MgS}{{\text{O}}_{\text{4}}}\] \[\text{MgS}{{\text{O}}_{\text{4}}}\]


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