A body of mass 1 kg falls freely from a height of 100 m, on a platform of mass 3 kg which is mounted on a spring having spring constant $\mathrm { k } = 1.25 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { m }$. The body sticks to the platform and the spring's maximum compression is found to be $x$. Given that $g = 10 \mathrm {~ms} ^ { - 2 }$, the value of x will be close to:\\
(1) 40 cm\\
(2) 4 cm\\
(3) 80 cm\\
(4) 8 cm