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 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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