In the shown planar frame made of thin uniform rods, the length of section $A B$ and $E F$ is $l_{1}$ and its thermal linear coefficient of expansion is $α_{1} .$ The length of section $C D$ is $l_{2}$ and its thermal linear coefficient of expansion is $α_{2} . C B and D E$ are of same length having thermal linear coefficient of expansion $α_{2} .$ point $A, B, E and F$ reside on same line, that is, sections $A B and E F$ overlap. then the ratio of $\frac{l _{1}}{l _{2}}$ for which the distance between end $A$ and end $F$ remains the same at all temperatures, is

Question

In the shown planar frame made of thin uniform rods, the length of section

A B

and

E F

is

l_{1}

and its thermal linear coefficient of expansion is

α_{1} .

The length of section

C D

is

l_{2}

and its thermal linear coefficient of expansion is

α_{2} . C B and D E

are of same length having thermal linear coefficient of expansion

α_{2} .

point

A, B, E and F

reside on same line, that is, sections

A B and E F

overlap. then the ratio of

\frac{l _{1}}{l _{2}}

for which the distance between end

A

and end

F

remains the same at all temperatures, is

Filo · Accepted Answer

Option (A)2α1​α2​​

Question Text	In the shown planar frame made of thin uniform rods, the length of section $A B$ and $E F$ is $l_{1}$ and its thermal linear coefficient of expansion is $α_{1} .$ The length of section $C D$ is $l_{2}$ and its thermal linear coefficient of expansion is $α_{2} . C B and D E$ are of same length having thermal linear coefficient of expansion $α_{2} .$ point $A, B, E and F$ reside on same line, that is, sections $A B and E F$ overlap. then the ratio of $\frac{l _{1}}{l _{2}}$ for which the distance between end $A$ and end $F$ remains the same at all temperatures, is
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