If k is the spring’s force constant and x is the displacement from its undeformed position of a spring, then the potential energy (V) of the spring is:

Correct option is B

The potential energy stored in a spring due to its displacement from the equilibrium (natural length) position is given by the formula:

V =$$\frac{1}{2} k x^2$$​​

Where:

• V = Potential energy
• k = Spring constant (N/m)
• x = Displacement from equilibrium (in meters)

• Hooke’s Law: Force exerted by a spring is F = -k x.
• Spring constant (k) measures the stiffness of the spring.
• ​Linear behavior valid only within elastic limit​
  
• Potential energy is always positive and stored in the spring.
• The energy is maximum when the spring is at maximum displacement.
• Formula is valid for both stretching and compression of the spring.