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

The resistance of a conductor at \(15^{\circ} {C}\) is \(16\, \Omega\) and at \(100\, {C}\) is \(20\, \Omega\). What will be the temperature coefficient of resistance of the conductor?

  1. A \(0.033\, {C}^{-1}\)
  2. B \(0.010\, {C}^{-1}\)
  3. C \(0.042\, {C}^{-1}\)
  4. D \(0.003^{\circ} \,{C}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(0.003^{\circ} \,{C}^{-1}\)

Step-by-step Solution

Detailed explanation

variation of resistance with temperature \(16=R_{0}\left[1+\alpha\left(15-T_{0}\right)\right]\) \(20=R_{0}\left[1+\alpha\left(100-T_{0}\right)\right]\) Assuming \({T}_{0}=0^{\circ} {C}\), as a general convention.…
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