Heat and Thermal ExpansionHard
Question
A metal rod A of length by ᐃl when its temperature is raised by 100oC. Another rod B of different metal of length 2l0 expand by ᐃl / 2 for same rise in temperature. A third rod C of length 3l0 is made up of pieces of rods A and B end to end to end expands 2ᐃl on heating through 100K. The length of each portion of the composite rod is :-
Options
A.
B.l0, 2l0
C.
D.
Solution
For rod A ᐃl = l0 = αA (100)
For rod B
= 2l0 = αB (100)
For rod C 2ᐃl = xαA(100) + (3l0 - x)αB(100)
⇒ x =
l0 & 3l0 - x = 
l0
For rod B
= 2l0 = αB (100)For rod C 2ᐃl = xαA(100) + (3l0 - x)αB(100)
⇒ x =
l0 & 3l0 - x = l0 Create a free account to view solution
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