A cylindrical rod having temperature ${T_1}$ and ${T_2}$ at its ends. The rate of flow of heat is ${Q_1}$ $cal/sec$. If all the linear dimensions are doubled keeping temperature constant then rate of flow of heat ${Q_2}$ will be

  • [AIPMT 2001]
  • A

    $4{Q_1}$

  • B

    $2{Q_1}$

  • C

    $\frac{{{Q_1}}}{4}$

  • D

    $\frac{{{Q_1}}}{2}$

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