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?​

Answer 1

Answer:

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Explanation:

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Answer 2

The final order of length of the rod will be: B > A > C

Given there are three rods A, B, and C of equal length L

Therefore the initial length of rod = L

The coefficient of linear expansion is aa, ab, and ac for rods A, B, and C respectively.

Increase in temperature =  θ ° C

Now, we know that change in length

ΔL = a x L x ΔT

where

a = coefficient of linear expansion

L = initial length

ΔT = Change in temperature

From the formula, we can see that increase in length is directly proportional to the coefficient of linear expansion, therefore the rod with the highest coefficient of linear expansion will experience the highest increase in length.

Given the order of coefficient of expansion: ab>aa>ac

Therefore final order of length of rods will be: B > A > C