Is the following Statement True or False ?

$1.$ If the spring is cut in two equal piece the spring constant of every piece decreases.

$2.$ Displacement of $SHO$ increases, its acceleration decrease. 

$3.$ A system can happen to oscillate, have more than one natural frequency.

$4.$ The periodic time of $SHM$ depend on amplitude or energy or phase constant.

Find maximum amplitude for safe $SHM$ (block does not topple during $SHM$) of $a$ cubical block of side $'a'$ on a smooth horizontal floor as shown in figure (spring is massless)

What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?

The angular frequency of a spring block system is $\omega _0.$ This system is suspended from the ceiling of an elevator moving downwards with a constant speed $v_0.$ The block is at rest relative to the elevator. Lift is suddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement :

In the figure given below. a block of mass $M =490\,g$ placed on a frictionless table is connected with two springs having same spring constant $\left( K =2 N m ^{-1}\right)$. If the block is horizontally displaced through ' $X$ 'm then the number of complete oscillations it will make in $14 \pi$ seconds will be $.........$

A uniform spring of force constant $k$ is cut into two pieces, the lengths of which are in the ratio $1 : 2$. The ratio of the force constants of the shorter and the longer pieces is