Heat and Thermal ExpansionHard

Question

The coefficient of linear expansion ′α′ of a rod of length 2m varies with the distance x from the end of the rod as α = α0 + α1x where α0 = 1.76 ×10-5 oC-1 and α1 = 1.2 ×10-6m-1 oC-1. The increase in the length of the rod, when heated through 100oC is :-

Options

A.2cm
B.3.76 mm
C.1.2 mm
D.none of these

Solution

l = Expansion dx = [(α0 + α1x]dx] ᐃT = 100 (1.76 × 10-5 oC-1 and α1 = 1.2 × 10-6m-1 oC-1. The increase in the length of the rod, when heated through 10oC is :-

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