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 \alpha_1 . Thelength of section CD is l_2 and its thermal linear coefficient of expansion is \alpha_2 . CBand DE are of same length having thermal linear coefficient of expansion \alpha_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 \alpha_2/{n\alpha_1} ; then find n.

JEE Advanced Model Paper 13 with solutions for online practice

Question : 7 of 60

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In the shown figure, a planar frame made of thin uniform rods. The length ofsection AB and EF is l1 and its thermal linear coefficient of expansion is α1 . Thelength of section CD is l2 and its thermal linear coefficient of expansion is α2 . CBand DE are of same length having thermal linear coefficient of expansion α2 . Points A,B,E and F reside on same line, that is, sections AB and EF overlap. Thenthe ratio

for which the distance between end A and end F remains the same atall temperatures is

α2

nα1

; then find n.

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