Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

Match List-I with List-II

List-I Formula

List-II Physical quantity

(A) $neAV_d$

(I) Mobility

(B) $\frac{v_d}{E}$

(II) Current

(C) $\frac{ne^2τ}{m}$

(III) Conductivity

(D) $\frac{m}{ne^2τ}$

(IV) Resistivity

Choose the correct answer from the options given below:

Options:

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(A)-(II), (B)-(I), (C)-(III), (D)-(IV)

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Correct Answer:

(A)-(II), (B)-(I), (C)-(III), (D)-(IV)

Explanation:

The correct answer is Option (3) → (A)-(II), (B)-(I), (C)-(III), (D)-(IV)

List-I Formula

List-II Physical quantity

(A) $neAV_d$

(II) Current

(B) $\frac{v_d}{E}$

(I) Mobility

(C) $\frac{ne^2τ}{m}$

(III) Conductivity

(D) $\frac{m}{ne^2τ}$

(IV) Resistivity

Given formulas and physical quantities:

(A) $I = ne A v_d$

- $n$ = number density of charge carriers

- $e$ = charge of electron

- $A$ = cross-sectional area

- $v_d$ = drift velocity

This formula gives the current in a conductor. → (II) Current

(B) $v_d / E$

- $v_d$ = drift velocity

- $E$ = applied electric field

Mobility $\mu$ is defined as the ratio of drift velocity to electric field: $\mu = v_d / E$. → (I) Mobility

(C) $ne^2 \tau / m$

- $n$ = charge carrier density

- $e$ = charge

- $\tau$ = relaxation time

- $m$ = mass of electron

Electrical conductivity $\sigma = ne^2 \tau / m$. → (III) Conductivity

(D) $m / ne^2 \tau$

- This is the reciprocal of conductivity, hence represents resistivity $\rho$. → (IV) Resistivity