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Mechanical Properties Of Fluids

Question
CBSEENPH11019350

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,
                  straight L subscript straight s over straight L subscript straight c equals straight alpha subscript straight c over straight alpha subscript straight s equals 17 over 11               ...(1) 
Also,               straight L subscript straight s minus straight L subscript straight c space equals space 5 cm               ...(2) 
From (1) and (2), we get 
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Length of the copper rod, straight L subscript straight c equals 9.17 space cm