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Three rods of equal length of same menti...

Three rods of equal length of same mentioned are joined to form an equilateral triangle. ABC as shown in figure. Area of cross-sectional of rod AB is S, of rod BE is 2S and that of AC is S. Then, match the following columns.
`{:("Column1","Column2"),("a Temperatuer of junction B","p Greater than" 50^(@)"C"),("b Heat current in AB","q Less than" 50^(@)"C"),("c Heat current in BC","r Is equal to heat current in BC"),("-","s Is" 2/3 "times heat current in AC"),("-","t None"):}`

Text Solution

Verified by Experts

Let `R_(BC) = R` then `R_(AB) = R_(AC) = 2R` as `R = (l)/(kA)`
`(100-T_(B))/(2R) = (T_(B)-0)/(R) implies T_(B) = 67.7 ^(@)C`
`((DeltaQ)/(Deltat))_(AB) = ((DeltaQ)/(Deltat))_(BC)` and `((DeltaQ)/(Deltat))_(AB)= (2)/(3)((DeltaQ)/(Deltat))_(AC)`
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