Two rods of length L1 and L2 are made of materials whose coefficients of linear expansion are Alpha1 And Alpha2,the difference between the two lengths is independent of temperature then what is the relation between L1,L2 and Alpha1 and Alpha2
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Solution :
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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Answer:
L1 alpha 1=L2 alpha 2
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