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two materials of lengh L1 and L2 have linear coefficient of expansion alpha1 and alpha2. if L1 - L2 is independent of temperature obtain relationship between L and its coefficients

Qazi Shadman , 8 Years ago
Grade 11
anser 1 Answers
Rituraj Tiwari
On increasing the temperature, the length of both the rods will increase.

If the change in length of both the rods is same irrespective of the rise in temperature, then the difference in the lengths of

two rods can be independent of temperature.

Increase in length of the first rod is,

∆L1=L1αθ

Increase in length of the second rod is,

∆L2=L2α

The required condition is

L1αθ=L2 α2θ ⇒ L1/(L2 )= α2/α1
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