JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Critical Thinking

  • question_answer
    The same mass of copper is drawn into two wires 1 mm and 2 mm thick. Two wires are connected in series and current is passed through them. Heat produced in the wire is in the ratio

    A)            2 : 1                                          

    B)            1 : 16

    C)            4 : 1                                          

    D)            16 : 1

    Correct Answer: D

    Solution :

                       \[H={{i}^{2}}RT={{i}^{2}}\left( \frac{\rho l}{A} \right)\,t=\frac{{{i}^{2}}\rho Vt}{{{A}^{2}}}\]          (V = volume, = Al)            Þ \[H\propto \frac{1}{{{r}^{4}}}\] Þ \[\frac{{{H}_{1}}}{{{H}_{2}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{4}}={{\left( \frac{2}{1} \right)}^{4}}=\frac{16}{1}\].


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