A cylindrical metallic rod, in thermal contact with two reservoirs of heat at its two ends, conducts an amount of heat $Q$ in time $t.$ The metallic rod is melted and the  material is formed into a rod of half the radius of the original rod. Amount of heat  conducted by the new rod, when placed in thermal contact with same two reservoirs in  time $t$ , is

  • A

    $\frac{Q}{2}$

  • B

    $\frac{Q}{4}$

  • C

    $\frac{Q}{16}$

  • D

    $2Q$

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