JEE Main & Advanced Physics Transmission of Heat Question Bank Conduction

  • question_answer
    Which of the following cylindrical rods will conduct most heat, when their ends are maintained at the same steady temperature [CPMT 1981; NCERT 1973, 81; MP PMT 1987; CBSE PMT 1995]

    A)            Length 1 m; radius 1 cm

    B)            Length 2 m; radius 1 cm

    C)            Length 2 m; radius 2 cm

    D)            Length 1 m; radius 2 cm

    Correct Answer: D

    Solution :

               \[\theta =\frac{{{K}_{1}}{{\theta }_{1}}+{{K}_{2}}{{\theta }_{2}}}{{{K}_{1}}+{{K}_{2}}}\]Þ \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{5}{3}\] \[{{K}_{1}}=5K\] \[{{K}_{2}}=3K\] is maximum in option (d), hence it will conduct more heat.


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