Question

Match the LIST-I with LIST-II

LIST-I (Quantity)	LIST-II (Formula)
A. Electromotive force	I. Drift velocity / Electric field
B. Electric field	II. Current / Area
C. Current density	III. Electric force / Charge
D. Charge mobility	IV. Work / Charge

Choose the correct answer from the options given below:

• A. A-I, B-II, C-III, D-IV
• B. A-IV, B-III, C-II, D-I
• C. A-IV, B-III, C-I, D-II
• D. A-III, B-IV, C-II, D-I

Hint:

Match each quantity by its definition or SI unit: EMF is work per charge, field is force per charge.

Answer 1

The Correct Option is B

Step 1: Idea:
Use the SI units to identify each quantity. A formula with the same unit as the quantity gives the match.

Step 2: Check units of the four formulas:
Work / Charge is joule per coulomb, which is the volt. Electric force / Charge is newton per coulomb, the unit of electric field. Current / Area is ampere per square metre, the unit of current density. Drift velocity / Electric field is (m/s) per (V/m), which is m$^2$ V$^{-1}$ s$^{-1}$, the unit of mobility.

Step 3: Match with the quantities:
EMF is measured in volts, so A goes with IV. Electric field is in N/C, so B goes with III. Current density is in A/m$^2$, so C goes with II. Mobility is in m$^2$/(V s), so D goes with I.

Step 4: Pick the option:
The set A-IV, B-III, C-II, D-I is printed as option 2. The other options break at least one of these unit matches.

Final Answer:
Unit matching gives A-IV, B-III, C-II, D-I, so option 2 is correct. \[ \boxed{\text{Option 2}} \]