Q.

Figure shows a conductor rod of non uniform cross- section. The ends of the rod are maintained at constant temperatures 100∘C and  0∘C respectively. At steady state, temperatures of P, Q, R and S are TP,TQ,TR and TS respectively, then:

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a

TP−TQ=TR−TS

b

TP−TQ>TR−TS

c

TP−TQ

d

TP>2TP−TQ

answer is C.

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Detailed Solution

Along length of conductordQdt= constant ⇒dQdt=KAdTdx=constant⇒AdT=constantAPQ>ARSAPQ=Area of cross-section at point PARS=Area of cross-section at point R∴ΔTPQ<ΔTRSTherefore, the correct answer is (C).
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Figure shows a conductor rod of non uniform cross- section. The ends of the rod are maintained at constant temperatures 100∘C and  0∘C respectively. At steady state, temperatures of P, Q, R and S are TP,TQ,TR and TS respectively, then: