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

  • question_answer
    The V-i graph for a conductor at temperature \[{{T}_{1}}\] and \[{{T}_{2}}\] are as shown in the figure. \[({{T}_{2}}-{{T}_{1}})\] is proportional to

    A)            \[\cos 2\theta \]

    B)            \[\sin \theta \]

    C)            \[\cot 2\theta \]

    D)            \[\tan \theta \]

    Correct Answer: C

    Solution :

                       As we know, for conductors resistance µ Temperature. From figure R1 µ T1 Þ tanq µ T1 Þ tanq = kT1                         ? (i) and R2 µ T2 Þ tan (90o ? q) µ T2 Þ cotq = kT2                        ?.(ii) From equation  (i) and (ii) \[k({{T}_{2}}-{{T}_{1}})=(\cot \theta -\tan \theta )\,\] \[\,({{T}_{2}}-{{T}_{1}})=\left( \frac{\cos \theta }{\sin \theta }-\frac{\sin \theta }{\cos \theta } \right)=\frac{({{\cos }^{2}}\theta -{{\sin }^{2}}\theta )}{\sin \theta \cos \theta }\]\[=2\cot 2\theta \]  Þ  (T2 ? T1) µ cot 2q


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