Two rods are joined between fixed supports as shown in the figure. Condition for no change in the length of individual rods with the increase of temperature will be
`"(" alpha_(1), alpha_(2)=` linear expansion coefficient
`A_(1), A_(2)=` Area of rods
`Y_(1), Y_(2)=` Young modulus `")"`
A. `(A_(1))/(A_(2))=(alpha_(1)Y_(1))/(alpha_(2)Y_(2))`
B. `(A_(1))/(A_(2))=(L_(1)alpha_(1)Y_(1))/(L_(2)alpha_(2)Y_(2))`
C. `(A_(1))/(A_(2))=(L_(2)alpha_(2)Y_(2))/(L_(1)alpha_(1)Y_(1))`
D. `(A_(1))/(A_(2))=(alpha_(2)Y_(2))/(alpha_(1)Y_(1))`