A man weighing $60\  kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\  m$ and frequency $\frac{2}{\pi } Hz$. Which of the following staements is correct

A spring has spring constant $k$ and $l$. If it cut into piece spring in the proportional to $\alpha  : \beta  : \gamma $ then obtain the spring constant of every piece in term of spring constant of original spring (Here, $\alpha $, $\beta $ and $\gamma $ are integers)

The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $T$. If along with it another mass $M$ is also suspended , the period of oscillation will now be

A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$