Natural length of the spring is
cm.
Work done in moving the object from
to
is
.
From the Hookes law,
.
Find the work done to stretch a spring from
cm to
cm.
Now calculate work done to stretch a spring of length of
cm to
cm from its natural length.
Here
and
.
Work done is
.

.
Find the work done to stretch a spring from
cm to
cm.
Now calculate work done to stretch a spring of length of
cm to
cm from its natural length.
Here
and
.
Work done is
.

.
Compare
and
.
From the above results,
.
.
Relation between
and
is
.