InterviewSolution
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InterviewSolution
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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))` |
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Answer» Correct Answer - D `Y=("Stress")/("strain") = (T//A)/(Delta l//l)` `T = (Y*Deltal)/(l) A = Y*A alpha Delta T` In both the rods tension will be same so `T_(1)=T_(2) ,` Hence, `Y_(1)A_(1)alpha_(1)Delta T = Y_(2)A_(2)alpha_(2)Delta T` `(A_1)/(A_2) = (Y_(2)alpha_(2))/(Y_(1)alpha_(1))`. |
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