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KVPY Sample Paper KVPY Stream-SX Model Paper-1

  • question_answer
    In the circuit shown the cells are ideal & of equal e.m.f., the capacitance of the capacitor is C & the resistance of the resistor is R. X is first joined to Y and then to Z. After a long time the total heat produced in the resistor will be:

    A) equal to the energy finally stored in the capacitor

    B) half of the energy finally stored in the capacitor                                

    C) twice the energy finally stored in the capacitor                          

    D) 4 times the energy finally stored in the capacitor.

    Correct Answer: D

    Solution :

    \[\text{Energ}{{\text{y}}_{\text{Released}}}\] in x y
    \[\text{joint}=(C.V).V-\frac{1}{2}C{{V}^{2}}=\frac{1}{2}C{{V}^{2}}\]
    \[\text{Energ}{{\text{y}}_{\text{Released}}}\]in x z
    \[\text{joint}=(2C.V).V-\frac{1}{2}C{{V}^{2}}=\frac{3}{2}C{{V}^{2}}\]
    \[\text{Total}\,\,\text{hea}{{\text{t}}_{\text{Released}}}=2C{{V}^{2}}\]which is 4 times energy store.


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