A student makes the following four statements about a particle vibrating in SHM.

(i) Total energy of the particle at point $A$ is half of that at point $B$.

(ii) Kinetic energy is maximum when potential energy is minimum.

(iii) There are two points in its path where $KE$ is equal to $PE$.

(iv) $KE$ at every point is greater than $PE$.

Which of the above statements is/are correct?

Total energy of a particle performing S.H.M. is NOT proportional to

An object of mass $4 \mathrm{kg}$ is attached to a spring which is fixed at one end on a rigid support and the mass-spring system is kept on a frictionless table. The object is allowed to execute simple harmonic motion along $X$ - direction. The force constant of the spring is $10 \mathrm{N} {\mathrm{m}}^{-1}$ and the spring is stretched initially a distance of $5 \mathrm{cm}$, the total energy stored in the system is

A body of mass $1 \mathrm{kg}$ is executing simple harmonic motion. Its displacement $y\left(\mathrm{cm}\right)$ at $t$ seconds is given by $y=6\sin \left(100t+\frac{\pi }{4}\right)$. Its maximum kinetic energy is

A mass of $5 \mathrm{kg}$ is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length $4 \mathrm{m}$ has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed ?