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Q.

The temperature coefficient of resistance of conductor varies as αT = 3T2+ 2T.If R0 is resistance at T = 0 and R is resistance at T, then

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a

R = R06T+2

b

R = 2Ro3+2T

c

R=R01 + T2+ T3

d

R = R0(1 - T + T2 + 2)

answer is C.

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Detailed Solution

α(T)=1R0dRdT⇒(3T2+2T)=1R0dRdT⇒∫R0RdR=R03∫0TT2dT+2∫0TTdT⇒ R = R01 + T2+ T3
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