Prove that current density of a metallic conductor is directly proportional to the drift speed of electrons.

Under what conditions the density of a gas is directly proportional to its pressure ?

Statement I: Larger the sphere, larger is its capacity and smaller the sphere, smaller is its capacity. Statement II: Capacitance of a spherical conductor is directly proportional to its radius.

If a body remains floating on a liquid, then what fraction of its volume remains immersed in the liquid? Or, Prove that the immersed part of a body floating in a liquid is directly proportional to the density of the body.

Obtain an expression showing the relation between the current-density j in a current-carrying conductor, the drift velocity v_d , the number of free electrons per unit volume n and the electronic charge e.

Statement I : Refractive index of a medium is inversely proportional to temperature. Statement II : Refractive index is directly proportional to the density of the medium.

Prove that the rate of diffusion of a gas is inversely proportional to the square root of its density.

If a current passes through a metal conducting wire of area of cross section A, the drift velocity of free electrons inside the metal is v_d=1/( n e A) , where the amount of electric charge of an electron =e and the number of free electrons per unit volume of the metal=n. The applied electric field on the wire is E=V/l , where a potential difference V exists between two points, l apart, along the length of the wire. IF R is the resistance of the wire between those two points, then the resistivity of its material is rho=(RA)/l .Besides the mobility (mu) of the free electrons inside a wire is defined as their drift velocity for a unit applied electric field. The radii of two wires ,made of two different metals are in the ratio 1:2 , The number density of free electrons in the first metal is double that in the second metal. IF the current in the first wire is 1A, then the current in the second wire producing the same drift velocity is

If a current passes through a metal conducting wire of area of cross section A, the drift velocity of free electrons inside the metal is v_d=1/( n e A) , where the amount of electric charge of an electron =e and the number of free electrons per unit volume of the metal=n. The applied electric field on the wire is E=V/l , where a potential difference V exists between two points, l apart, along the length of the wire. IF R is the resistance of the wire between those two points, then the resistivity of its material is rho=(RA)/l .Besides the mobility (mu) of the free electrons inside a wire is defined as their drift velocity for a unit applied electric field. The current through unit cross section of a conductor,called the electric current density J, is related with the applied electric field E as

If a current passes through a metal conducting wire of area of cross section A, the drift velocity of free electrons inside the metal is v_d=1/( n e A) , where the amount of electric charge of an electron =e and the number of free electrons per unit volume of the metal=n. The applied electric field on the wire is E=V/l , where a potential difference V exists between two points, l apart, along the length of the wire. IF R is the resistance of the wire between those two points, then the resistivity of its material is rho=(RA)/l .Besides the mobility (mu) of the free electrons inside a wire is defined as their drift velocity for a unit applied electric field. Two copper wires have both lengths and radii in the ratio 1:2 if the ratio between the electric currents flowing through them is also 1:2 , what would be the ratio between the drift velocities of free electrons?