Show that the energy in LC - oscillations is always constant (i.e. conserved).

What do you mean by LC oscillations?

From the relation R = R_0A^(1/3) , where R_0 is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).

Derive expressions for kinetic energy and potential energy of a simple harmonic oscillator. Show that the total energy is constant. In which position of the oscillator is the energy totally kinetic.

Show that the total energy of a body moving with S.H.M. is conserved.

Show that the electric field due to a point charge is conservative?

Total energy of a bound system is always_______.

Show that when capacitor is discharged through an inductor the electrical oscillations are produced (LC- oscillations). Find te frequency of oscillations.

An LC circuit contains a 20 mH inductor and a 50 muF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t = 0. What is the total energy stored initially? Is it conserved during LC oscillations?