JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Electric Conduction Ohms and Resistance

  • question_answer
    A platinum resistance thermometer has a resistance of \[50\,\Omega \] at \[20{}^\circ C\]. When dipped in a liquid the resistance becomes \[76.8\,\Omega \]. The temperature coefficient of resistance for platinum is \[\alpha =3.92\times {{10}^{-3}}/{}^\circ C\]. The temperature of the liquid is

    A)            \[100{}^\circ C\]

    B)                                      \[137{}^\circ C\]

    C)                    \[167{}^\circ C\]          

    D)            \[200{}^\circ C\]

    Correct Answer: C

    Solution :

                 \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{(1+\alpha {{t}_{1}})}{(1+\alpha {{t}_{2}})}\Rightarrow \frac{50}{76.8}=\frac{(1+3.92\times {{10}^{-3}}\times 20)}{(1+3.92\times {{10}^{-3}}t)}\]            \[\Rightarrow t=167{}^\circ C\]


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