The energy of a particle executing simple harmonic is given by $E=a{x}^2+b{v}^2$, where $x$ is the displacement from mean position $x=0$ and $v$ is the velocity of the particle at $x$ then choose the incorrect statement.

A block of mass $\text{'}m\text{'}$ is attached with two springs of spring constant $\text{'}k\text{'}$ is performing $\mathrm{SHM}$ on a smooth horizontal surface. One of the spring is cut when the block is at the extreme position. Find the ratio of the amplitude of new $\mathrm{SHM}$ and old $\mathrm{SHM}.$

A spring block system is put into SHM in two experiments. In the first, the block is pulled from the equilibrium position through a displacement $d_1$ and then released. In the second, it is pulled from the equilibrium position through a greater distance $d_2$ and then released. For both the experiments, which of the following is incorrect?