An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is: (A) 4Mg/k (B) 2Mg/k (C) Mg/k (D) Mg/2k

Answer: (B) 2Mg/k

Explanation:

By potential energy, we know;

P.E. = 1/2 kx2

As per given, 

P.E. = Mg x

1/2 kx2 = Mg x

or

x = 2Mg/k

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