Two cylindrical rods of same length have the area of cross section in the ratio 2:1.If both the rods are made up of same material which of them conduct heat faster??
Answers
Lets name the rods A and B.
We need to determine which rods conducts heat faster.
Now the rod that conducts better obviously has the least resistance.
R=p*l/a
where p=specific resistance.
l=length of rod
a=area of cross section.
Now that rods are of same material, p is same.
Let A have resistance R1 and B have R2.
R1=p*l/a
R2=p*l/a/2
because it has half area of A.
R2=p*2l/a
So R2>R1
Hence conductance of B is less than A.
A will conduct heat faster as the resistance is less.
Thats the answer.
Hope it helps you.
Thanks.
Heat conductivity: The amount of heat through an unit cross sectional area of the material with the temperature gradient being perpendicular is referred to as heat or thermal conductivity.
Given: Two rods have the same length and made up of the same material but the area of cross section is in the ratio 2:1
Reason: Thermal or heat conductivity is directly proportional to it's area of cross section. As the area of the cross section increase, the thermal conductivity also increases.
Inference: The cylindrical rod that has the twice the area of cross section will conduct heat faster.
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