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

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By Expert Faculty of Sri Chaitanya
a
TP−TQ=TR−TS
b
TP−TQ>TR−TS
c
TP−TQ
d
TP>2TP−TQ
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detailed solution

Correct option is C

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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