The potential energy of a long spring when stretched by 2cm is U, If the spring is stretched by 8 cm the potential energy stored in it is:
A
4 U
B
8 U
C
16 U
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let extension produced in a spring be x initially. In stretched condition spring will have potential energy
U = 
where k is spring constant or force constant.
= 
... (i)
Given U 1 = U, x1 = 2 cm, x2 = 8 cm
putting these values in equation (i), we have
= 
= 
= 
U2 = 16U
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