The V-i graph for a conductor at temperature T1 and T2 are as shown in the figure. (T2T1) is proportional to

(1) cos2θ

(2) sinθ

(3) cot2θ

(4) tanθ

(3) As we know, for conductors resistance ∝ Temperature.

From figure R1T1 ⇒ tanθT1 ⇒ tanθ = kT1 … (i)

and R2T2 ⇒ tan (90oθ) ∝ T2 ⇒ cotθ = kT2 ….(ii)

From equation (i) and (ii) k(T2T1)=(cotθtanθ)

(T2T1)=cosθsinθsinθcosθ=(cos2θsin2θ)sinθcosθ=2cot2θ

⇒ (T2T1) ∝ cot 2θ 

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