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JEE Advanced Model Paper 13 with solutions for online practice
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© examsnet.com
Question : 7
Total: 60
In the shown figure, a planar frame made of thin uniform rods. The length ofsection AB and EF is
l
1
and its thermal linear coefficient of expansion is
α
1
. Thelength of section CD is
l
2
and its thermal linear coefficient of expansion is
α
2
. CBand DE are of same length having thermal linear coefficient of expansion
α
2
. Points A,B,E and F reside on same line, that is, sections AB and EF overlap. Thenthe ratio
l
1
l
2
for which the distance between end A and end F remains the same atall temperatures is
α
2
n
α
1
; then find n.
Your Answer:
Validate
Solution:
For distance between A and F to remain constant, extension in CD = extensionin AB + extension in EF
∴ Δ
l
2
= 2Δ
l
1
⇒
l
2
α
Δ
θ
2
=
2
l
1
α
1
Δ
θ
or
l
1
l
2
=
α
1
2
α
2
© examsnet.com
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