Derive an expression for period of oscillation of a loaded spring.

The motions that repeat themselves are called periodic motions but for a simple harmonic motion, the force must be proportional to the displacement and it is directed towards the centre of motion. Write the expression for a period of oscillation of a loaded spring.

Deduce an expression for the period of oscillation of a simple pendulum.

Integrated rate expression for rate constant of first order reaction is given by k=2.303/t log [[R]]_0/[[R]] for general reaction RtoP .Derive an expression for half life period of first order reaction.

a mass m is suspended at one end of a spring and the other end of the spring is fimly fixed on the celling. if the mass is slightly depressed and released it will execute oscillation. If the spring is cut into two equal halves and one half of the spring is used to suspend the same mass then obtain an expression for the ratio of periods of oscillation in two cases.

Derive an expression for energy stored in a capacitor,

For a first order reaction, derive expression for the degree of dissociation of the reactant in the exponential form.