Question
Find the length of steel and copper rod if steel rod remains 5 cm longer than copper at all the temperatures. Given αs=1.1 x 10–5°CT–1 and αc= 1.7x101–5°C–1.
Solution
Let Ls and Lc be the lengths of steel and copper rods respectively.
The difference in the length remains constant if,
...(1)
Also,
...(2)
From (1) and (2), we get
Length of steel rod,
, and
Length of the copper rod,
The difference in the length remains constant if,

Also,

From (1) and (2), we get
Length of steel rod,
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Length of the copper rod,
