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−l22l1+α2t2−121+α1t2l2−l24=l21+a22t2+2α2t−l241+a12t2+2α1tNeglecting α22t2 and α12t20=l22α2t−l242α1t⇒2α2=2α14⇒;α1=4α2Talk to our academic expert!
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The coefficient of linear expansion of brass and steel are and . If we take a brass rod of length and steel rod of length at 0oC, their difference in length will remain the same at all temperatures if
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