Questions
Three rods of equal length l are joined to form an equilateral triangle PQR. O is the mid-point of PQ. Distance OR remains same for small change in temperature. Coefficient of linear expansion for PR and RQ is same, i.e. but that for PQ is . Then,
detailed solution
Correct option is D
(OR)2=(PR)2-(PO)2=l2-l22⇒ (OR)2=l1+α2t2-l21+α1t2 l2-l24=l21+α22t2+2α2t-l241+α12t2+2α1tNeglecting α22 t2 and α12 t2 , we get 0=l22α2t-l242α1t⇒ 2α2 = 2α14⇒ α1 = 4α2Talk to our academic expert!
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