One end of a light spring of spring constant \( k \) is fixed to a wall and the other end is tie...

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One end of a light spring of spring constant \( k \) is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is \( +\left(\frac{1}{2}\right) k x^{2} \). The possible cases are
(a) The spring was initially compressed by a distance \( x \) and was finally in its natural length
(b) It was initially stretched by a distance \( x \) and finally was in its natural length
(c) It was initially in its natural length and finally in a compressed position
(d) It was initially in its natural length and finally in a stretched position
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