Heat and Thermal ExpansionHard

Question

The coefficient of linear expansion ′ α ′ of the material a rod of length l0 varies with absolute temperature as α = aT - bT2 where where a & b are constants.The linear expansion of the rod when heated from T1 to T2 = 2T1 is :-

Options

A.
B.
C.
D.None of these.

Solution

∵ dl = αl0dT ∴ ᐃl = dl = (aT - bT2) l0dT∵ dl = αl0dT ∴ ᐃl = dl = (aT - bT2) l0dT

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