Heat and Thermodynamics 2 Question 4

7. Two rods, one of aluminium and the other made of steel, having initial length l1 and l2 are connected together to form a single rod of length l1+l2. The coefficients of linear expansion for aluminium and steel are αa and αs respectively. If the length of each rod increases by the same amount when their temperature are raised by tC, then find the ratio l1l1+l2

(2003, 2M)

(a) αsαa

(b) αaαs

(c) αs(αa+αs)

(d) αa(αa+αs)

Objective Question II (One or more correct option)

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Answer:

Correct Answer: 7. γl=2αs

Solution:

  1. Given Δl1=Δl2 or l1αat=l2αst

l1l2=αsαa or l1l1+l2=αsαa+αs



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