Transmission Of Heat Question 49

Question: Two rods of same length and material transfer a given amount of heat in 12 seconds, when they are joined end to end. But when they are joined lengthwise, then they will transfer same heat in same conditions in

[BHU 1998; UPSEAT 2002]

Options:

A) 24 s

B) 3 s

C) 1.5 s

D) 48s

Show Answer

Answer:

Correct Answer: D

Solution:

Let the heat transferred be Q. When rods are joined end to end. Heat transferred by each rod$ =Q=\frac{KA\Delta \theta }{l}\times 12 $ ?..(i) When rods are joined lengthwise, $ Q=\frac{KA\Delta \theta }{2l}t $ ?..(ii) From equation (i) and (ii) we get $ t=48\ s $