Question

two identical copper rods A and B are heated where rod A is 15m long and rod B is 35m long , to the same rise in temperature. which will expand more and why?​

Answer 1

Given:

Length of rod A = 15m

Length of rod B = 35 m

To find:

Which rod expands more.

Solution:

The formula for linear expansion is as follows:

ΔL = αLΔT

Where ΔL is the change in length,

α is the coefficient of linear expansion,

L is the original length,

And ΔT is the change in temperature.

Since according to the question α, ΔT is same for both the rods:

∴ ΔL∝ L

Since rod B is longer therefore it will expand more.

Rod B will expand more because it is longer than rod A.