Drift Velocity, Mobility and their Relation with Electric Current

Two conducting wires X and Y of same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice that in Y, find the ratio of drift velocity of electrons in the two wires would be:

The current of a conductor flowing through a conductor in terms of the drift speed of electrons is (the symbols have their usual meanings) 

Derive an expression for the resistivity of a good conductor, in terms of the relaxation time of electrons.

Two metallic wires of the same material have the same length but cross-sectional area is in the ratio $1:2$. They are connected (i) in series and (ii) in parallel. Compare the drift velocities of electrons in the two wires in both the cases (i) and (ii).

The relation between current and drift velocity is

A. The drift velocity of electrons decreases with the increase in the temperature of conductor.
B. The drift velocity is inversely proportional to the area of cross-section of given conductor.
C. The drift velocity does not depend on the applied potential difference to the conductor.
D. The drift velocity of electron is inversely proportional to the length of the conductor.
E. The drift velocity increases with the increase in the temperature of conductor.

Choose the correct answer from the options given below:

The current in a copper wire is increased by increasing the potential difference between its ends. Which one of the following statements regarding the number of charge carriers per unit volume in the wire and ${\mathrm{v}}_{\mathrm{i}}$, the drift velocity of the charge carriers is correct?

A metal wire is subjected to a constant potential difference. When the temperature of the metal wire increases, the drift velocity of the electron in it 

A conductor wire having ${10}^{29}$ free electrons/$m^3$ carries a current of $20A.$ If the cross-section of the wire is $1 m{m}^2,$ then the drift velocity of electrons will be 

When potential difference across a given copper wire is increase, drift velocity of charge carriers

The resultant flow of current in a conductor in the absence of electric field is

The resultant flow of current in a conductor in the absence of electric field is

A current $i$ is flowing through the wire of diameter $\left(d\right)$ having drift velocity of electrons $v_d$ in it. What will be new drift velocity when diameter of wire is made $\frac{d}{4}?$

When temperature of a metal is increased, its conductivity

A metal wire carries a charge of $1200 \mathrm{C}$ in $20$ minutes. If the area of the cross-section of the wire is $25 {\mathrm{mm}}^2$ and the material of the metal contains $6.0\times {10}^{22}$ free electrons ${\mathrm{cm}}^{-3}$, the drift velocity of the electrons in the wire is

Which of the following statements is true about relaxation time?

With increase in temperature, the relaxation time of electrons in a material:

Consider a wire having current $10\mathrm{A}$ having area of cross-section $1 {\mathrm{cm}}^2$. If number of electrons per unit volume is $9\times {10}^{28} {\mathrm{m}}^{-3}$. Find the drift velocity of electrons:-