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JEE Mains · Physics · STD 12 - 3. current electricity

\(0^{\circ} \mathrm{C}\) पर दो चालकों का प्रतिरोध समान तथा प्रतिरोध ताप गुणांक क्रमशः \(\alpha_1\) तथा \(\alpha_2\) है। श्रेणी क्रम व समान्तर क्रम में उनके संगत प्रतिरोध ताप गुणांक _______ है।

  1. A \(\alpha_1+\alpha_2, \frac{\alpha_1+\alpha_2}{2}\)
  2. B \(\frac{\alpha_1+\alpha_2}{2}, \frac{\alpha_1+\alpha_2}{2}\)
  3. C \(\alpha_1+\alpha_2, \frac{\alpha_1 \alpha_2}{\alpha_1+\alpha_2}\)
  4. D \(\frac{\alpha_1+\alpha_2}{2}, \alpha_1+\alpha_2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\alpha_1+\alpha_2}{2}, \frac{\alpha_1+\alpha_2}{2}\)

Step-by-step Solution

Detailed explanation

Series : \(R_{e q}=R_1+R_2\) \(2 R\left(1+\alpha_{e q} \Delta \theta\right)=R\left(1+\alpha_1 \Delta \theta\right)+R\left(1+\alpha_2 \Delta \theta\right)\) \(2 R\left(1+\alpha_{\mathrm{eq}} \Delta \theta\right)=2 R+\left(\alpha_1+\alpha_2\right) R \Delta \theta\)…
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