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

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    One junction of a certain thermoelectric couple is at a fixed temperature \[{{T}_{r}}\] and the other junction is at temperature T. The thermo electromotive force for this is expressed by \[E=K(T-{{T}_{r}})\left[ {{T}_{0}}-\frac{1}{2}(T+{{T}_{r}}) \right]\]. At temperature \[T=\frac{1}{2}{{T}_{0}}\], the thermoelectric power is                                                                              [MP PMT 1994]

    A)                    \[\frac{1}{2}K{{T}_{0}}\]  

    B)                    \[K{{T}_{0}}\]

    C)                    \[\frac{1}{2}KT_{0}^{2}\]

    D)                    \[\frac{1}{2}K{{({{T}_{0}}-{{T}_{r}})}^{2}}\]

    Correct Answer: A

    Solution :

                       We know that thermoelectric power \[S=\frac{dE}{dT}\] Given \[E=k\,(T-{{T}_{r}})\,\left[ {{T}_{0}}-\frac{1}{2}(T+{{T}_{r}}) \right]\] By differentiating the above equation w.r.t. T and Putting \[T=\frac{1}{2}{{T}_{o}},\] we get \[S=\frac{1}{2}k{{T}_{o}}\]


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