Derive the equations `s=ut+1/2at^(2)`using graphical method where the terms have their usual meaning .

Derive R = 2f for a spherical mirror, where the symbols have their usual meaning

Which of the following relations does not give the equation of an adiabatic process, where tems have their usual meaning ?

Starting with the law of radioactive disintegration, show that : N=N_(0)e^(-lamdat) , where the terms have their usual meaning.

Check whether the relation S = ut + (1)/(2) at^(2) is dimensionally correct or not , where symbols have their usual meaning .

Derive the equation of motion x=v_0t+1/2at^2 using appropriate graph.

Show that, two thin lenses kept in contact, form an achromatic doublet if they satisfy the condition. (omega)/(f)+(omega.)/(f.)=0 where the terms have their usual meaning.

In the relation V = ( pi)/( 8) ( P r^(4))/( nl) , where the letters have their usual meanings , the dimensions of V are

Derive an expression for the capacitance of a parallel plate capacitor in terms of the areas of the plates and the distance between them. Assume there is a vacuum in between the plates with the electric field between the plates E=(sigma)/(epsilon_(0)) (where the symbols have their usual meaning).

Derive an expression for refraction at a single (convex) spherical surface, i.e., a relation between u, v, R, n_(1) (rarer medium) and n_(2) (denser medium), where the terms have their usual meaning.