A small block connected with a spring of force constant k and natural length $l_{0}$ is placed over a rough horizontal surface. The other end of spring is fixed to a rigid wall as shown in the figure. The block is pulled to right to give the spring an elongation $x_{0}$ and released. The block comes to rest at position where spring is relaxed. The coordinate where kinetic energy of block is maximum and maximum value of kinetic energy are respectively.

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$(l_{0} + \frac{x_{0}}{4}, 0)$ $a n d \frac{1}{4} k x_{0}^{2}$

$(l_{0} + \frac{x_{0}}{3}, 0)$ $a n d \frac{1}{3} k x_{0}^{2}$

$(l_{0} + \frac{x_{0}}{2}, 0) a n d \frac{1}{4} k x_{0}^{2}$

$(l_{0} + \frac{x_{0}}{2}, 0) a n d \frac{1}{8} k x_{0}^{2}$

answer is D.

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