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: Understanding the Question:
We must pair each physical quantity in List-I with the formula in List-II that defines it. All four quantities come from current electricity.

Step 2: Match A, electromotive force:
EMF is the work done per unit charge by the source in moving charge around the circuit. So EMF = Work / Charge, which is item IV. A matches IV.

Step 3: Match B, electric field:
Electric field is the force felt by a unit test charge. So E = Force / Charge, which is item III. B matches III.

Step 4: Match C, current density:
Current density is the current flowing through unit area, \(J = I/A\). This is item II. C matches II.

Step 5: Match D, charge mobility:
Mobility is the drift velocity gained per unit electric field, \(\mu = v_d/E\). This is item I. D matches I.

Step 6: Compare with the options:
The full matching is A-IV, B-III, C-II, D-I. Option 1 wrongly pairs A with I. Option 3 swaps C and D. Option 4 pairs A with III. Only option 2 is fully right.

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