Two springs A and B (kA = 2kB) are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in A is E. that in B is

Let Xa and Xb be the extensions produced in the springs A and B,


Restoring force on the spring A,


Restoring force on the spring B,



From the above equations we get,



It’s given that , Therefore


Energy stored in spring A =


Energy stored in spring A =

1