The difference in length between two rods A and B is 60 ~cm at all temperatures. If _ A =18 10⁻⁶ / ^ C and _ B =27 10⁻⁶ / ^ C , the lengths of the two rods are

Step-by-step solution

Given: l=60 ~cm , _ A =18 10⁻⁶ / ^ C , _ B =27 10⁻⁶ / ^ C l is constant at all temperatures. We know l=l t Let the length of the rods at a temperature 0^ C be l_ A and, l_ B At temperature t ^ C array ll & l_ A a_ A t _ A =l_ B a_ B t _ B & l_ A (18) 10⁻⁶=l_ B (27) 10⁻⁶.. (i) & l=l_ A -l_ B l & = 3 2 l_ B -l_ B .. from (i) & l= 1 2 l_ B & l_ B =2 l & l_ B =2 60=120 ~cm & l_ A = 3 2 120=180 ~cm array