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Question

Match List - I with List - II.

List - I (Laws)List - II (Applications)
A. Ampere's law      I. Force on a charge
B. Biot's lawII. Force due to a current carrying conductor
C. Coulomb's lawIII. Electric flux density at a point
D. Gauss's lawIV. Magnetic flux density at a point

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
A-IV, B-II, C-I, D-III

To match List - I (Laws) with List - II (Applications), we need to understand the fundamental concepts associated with each law:

  1. Ampere's Law: This is used to find the magnetic flux density at a point due to a current-carrying conductor. It relates magnetic fields to the electric current that produces them. Therefore, the correct application for Ampere's Law is IV. Magnetic flux density at a point.
  2. Biot's Law: In this context, this likely refers to the Biot-Savart Law, which describes the magnetic field generated by an electric current. It is used to compute the magnetic field (or magnetic force) due to a current. Hence, it best relates to II. Force due to a current carrying conductor.
  3. Coulomb's Law: This is utilized to calculate the force between two point charges. It describes the electrostatic interaction between electrically charged particles. Thus, it correlates with I. Force on a charge.
  4. Gauss's Law: This law is applied to determine the electric flux density at a point. It relates the distribution of electric charge to the resulting electric field. So, it aligns with III. Electric flux density at a point.

Therefore, the correct matching is:

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

 

Let's see why the other options are incorrect:

  • A-I is incorrect as Ampere's Law is not about force on a charge.
  • B-I is incorrect because Biot's Law relates to the magnetic field due to a current, not directly to the force on a charge.
  • C-III wrongly assigns Coulomb’s Law an application in electric flux density calculation, which is the domain of Gauss’s Law.
  • D-IV incorrectly links Gauss's Law with magnetic properties, which is relevant to Ampere's Law.

Hence, the logic and reasoning confirm that A-IV, B-II, C-I, D-III is the correct answer.

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