Question:hard

Match the terms in Column I with the corresponding attributes in Column II:
Column IColumn II
(P) Wiedemann-Franz law(1) Charge carrier concentration
(Q) Neel temperature(2) Paramagnetism
(R) Hall voltage(3) Ratio between thermal conductivity and electrical conductivity of metals
(S) Curie law(4) Diamagnetism
(5) Anti-ferromagnetism

Show Hint

Recall that Wiedemann-Franz links thermal and electrical conductivity, Neel temperature marks antiferromagnetic order, Hall voltage gives carrier concentration, and Curie law describes paramagnetism; diamagnetism is a distractor.
Updated On: Jul 28, 2026
  • P-4, Q-3, R-2, S-1
  • P-2, Q-5, R-1, S-3
  • P-3, Q-5, R-1, S-2
  • P-3, Q-4, R-5, S-2
Show Solution

The Correct Option is C

Solution and Explanation

Let's work from the Column II side this time and ask which term in Column I fits each attribute.

  1. (1) Charge carrier concentration: This is what the Hall effect measures. A magnetic field applied across a current-carrying sample produces a small sideways voltage, the Hall voltage, and its size tells us how many charge carriers per unit volume are present, along with their sign. So (1) goes with (R) Hall voltage.
  2. (2) Paramagnetism: Curie law says the magnetic susceptibility of a paramagnetic solid falls off as $1/T$. This is a defining feature of paramagnetic behavior, so (2) goes with (S) Curie law.
  3. (3) Ratio between thermal conductivity and electrical conductivity of metals: This is the Wiedemann-Franz law, which says $k/\sigma$ is nearly the same constant times temperature $T$ for most metals, since both properties come from the free electrons carrying heat and charge. So (3) goes with (P) Wiedemann-Franz law.
  4. (4) Diamagnetism: No term in Column I refers to diamagnetism, so this option is left unmatched. It exists only to test whether the student picks a false pairing.
  5. (5) Anti-ferromagnetism: Below the Neel temperature, neighboring atomic moments in certain materials point opposite to each other, cancelling the net magnetization. This is antiferromagnetic order, so (5) goes with (Q) Neel temperature.

Putting the working pairs together gives P-3, Q-5, R-1, S-2, which is option (C).

Let's summarize:

  • Wiedemann-Franz law ties thermal and electrical conductivity of metals through temperature.
  • Neel temperature marks the onset of antiferromagnetism.
  • Hall voltage reveals the charge carrier concentration.
  • Curie law describes paramagnetic susceptibility falling with rising temperature.

So the correct match is P-3, Q-5, R-1, S-2, and diamagnetism is the leftover distractor.

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