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Question

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


A
cos 2θ
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B
sin θ
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C
cot 2θ
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D
tan θ
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Solution

The correct option is C cot 2θ
As we know, for conductors resistance Temperature.
From figure R1T1tanθT1tan θ=kT1 ...........(i) (k = constant)
and R2T2tan (90θ)T2cot θ=kT2 ...........(ii)
From equation (i) and (ii) k(T2T1)=(cot θtan θ)
(T2T1)=(cos θsin θsin θcos θ)=(cos2 θsin2 θ)sin θcos θ=cos 2θsin θcos θ=2 cot 2θ(T2T1)cot 2θ

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