a$)$ Compare mechanical and electrical oscillator.

b$)$ The equation of motion of a particle exhibiting simple harmonic motion $($SHM$)$ is given as $\frac{de{l}^{2}x}{del{t}^2}+{}^{2}x=0$

Calculate the following parameters from the above equation. i$)$ Amplitude ii$)$ Time period iii$)$ Total energy of the oscillator

c$)$ A spring is expanded by $0\mathrm{.}4m$ when a block of mass $2kg$ is suspended from it$.$ The spring oscillates in SHM$.$ At a displacement of $0\mathrm{.}5m,$ the velocity of the block is given by $4\frac{m}{sec}.$ Determine the following $($i$)$ Spring constant $($K$)$ of the spring $($ii$)$ Time period $($iii$)$ Frequency of oscillation iv$)$ Amplitude