Derive graphically `s = ut + (1)/(2) at ^(2),`where symbols have their usual meaning.

Derive graphically v ^(2) = u ^(2) + 2as, where symbols have their usual meaning.

(a) Show that for a projectile the angle between the velocity and the x - axis as a function of time is given by theta(t)="tan"^(-1)((v_(0y)-"gt")/(v_(@)x)) (b) Shows that the projection angle theta_(@) for a projectile launched from the origin given by theta_(0)=tan^(-1)((4h_(m))/(R)) where the symbols have their usual meaning.

Select the incorrect relation. (Where symboles have their usual meanings):-

Dimension of (1)/(mu_(0)epsilon_(0)) is, where symbols have usual meaning,

Statement- 1 : Temperature of a rod is increased and again cooled to same initial temperature then itsfinal length is equal to original length provided there is no deformation take place. Statement- 2 : For a small temperature change , length of a rod varies as l = l_(0)(1+alphaDeltaT) provided alpha DeltaT ltlt1 . Here symbol have their usual meaning.

The domain of the function f(x)=""^(16-x)C_(2x-1+ ^(20-3x)P_(4x-5) , where the symbols have their usual meanings, is the set

In a young's double slit experiment, two wavelength of 500 nm and 700 nm were used. What is the minimum distance from the central maximum where their maximas coincide again ? Take D//d = 10^(3) . Symbols have their usual meanings.

Given vecF=(veca)/(t) where symbols have their usual meaning. The dimensions of a is .

The related equations are : Q=mc(T_(2)-T_(1)), l_(1)=l_(0)[1+alpha(T_(2)-T_(1))] and PV-nRT , where the symbols have their usual meanings. Find the dimension of (A) specific heat capacity (C) (B) coefficient of linear expansion (alpha) and (C) the gas constant (R).

In the following 'I' refers to current and other symbols have their usual meaning. Chosse the option that corresponds to the dimensions of electrical conductivity: