Question

1.There are three Rods A,B,C of equal length L at same temperature .There coefficient of linear
expansion are αa, αb, αr respectively. if the temperature of all rod are increased by θ ° C and
coefficient of linear expansion is like αb>αa >αc. then what will be the final order of length of
rod?
a. Lc>Lb>Lc
b. Lb= La= Lc
c. La>Lb>Lc
d. Lb>La>L

Answer 1

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Answer 2

The final order of the length of rod will be  $L_{B} > L_{A} > L_{C}$

The initial length of the three rods, A, B, C are equal = L

The temperature of all the three rods is increased by θ° C

If the coefficient of linear expansion is α

Then, the increased length, l = αLθ

As, $\alpha_{B} > \alpha_{A} > \alpha_{C}$,

So, the order of the increased length will be

$l_{B} > l_{A} > l_{C}$ [L and θ are same for all]

So, the order of final length (L+l) will be

$L_{B} > L_{A} > L_{C}$