Question

The factors directly proportional to the amount of heat conducted through a metal rod are

Answer 1

The heat conducted by a metal rod is given by,

Q = ΔTAt/L

The factors directly proportional to the amount of heat conducted through a metal rod are:

1) Temperature difference: The greater the difference in temperature between the two ends of the rod, the greater the rate of thermal energy transfer, so more heat is transferred. The heat, Q, is proportional to the difference in temperature:

Q ∝ ΔT

2) Cross-sectional area: A rod twice as wide conducts twice the amount of heat. In general, the amount of heat conducted, Q, is proportional to the cross-sectional area, A, like this:

Q ∝ A

3) Time: The amount of heat transferred, Q, depends on the amount of time that passes, t — twice the time, twice the heat. Here’s how you express this idea mathematically:

Q ∝ t