State the law of radioactive decay. Hence derive the expression` N = N_0(e^-lamda t) `.lf where symbols have their usual meanings.

Show that a + r +1=1 where symbols have their usual meaning.

Derive an expression N = N_(0) e^(-lambda t) in Radioactivity

Show that σ = \(\frac{ne^2\tau}{m}\). Where symbols have usual meanings.

State the law of radioactive decay and deduce an expression for half life of a radioactive substance.

Show that for pipe closed at one end, the end correction is e= (n_1l_1-n_2l_2)/(n_2-n_1) where, the symbols have their usual meaning.

Two organ pipes open at both ends have same diameter but different lengths. Show that end correction at each end is e= (n_1l_1-n_2l_2) / 2(n_2-n_1) where,the symbols have their usual meaning.

A jar A is filled with a gas characterised by parameters P,V and T and another jar B with a gas with parameters 2P, V/8 and 2T, where the symbols have their usual meaning. The ratio of the number of molecules of jar A to thosej of jar B is

Assertion : A progressive wave can be represented by y= log (x+vt) Reason: Any progressive wave must have the form y= f(x-vt )or y= f (x+vt) where symbols have their usual meaning

State the expression for magnetic field at an axial point produced by current carrying loop. Hence find the expression for the magnetic field:- at the centre of a coil having N turns.

State the expression for the magnetic field due to a circular are of wire carrying a current I. Hence find the magnetic field at the centre of circular coil and having n turns.