A simple pendulum is oscillating between extreme positions $P$ and $Q$ about the mean position $O.$ Which of the following statements are true about the motion of pendulum?

The displacement $\left(x\right)$ of a particle as a function of time $\left(t\right)$ is given by $x=a\sin (bt+c)$ where $a, b$ and $c$ are constants of motion. Choose the correct statements from the following.

For the spring pendulum shown in the given figure, the value of spring constant is $3\times {10}^4 {\mathrm{Nm}}^{-1}$ and amplitude of oscillation is $0.1 \mathrm{m}.$ The total mechanical energy of oscillating system is $200 \mathrm{J}.$ Mark out the correct option(s).