The GATE Grind

GATE 2023 PH – Question 19

Solid State Physics · lattice vibrations and thermal properties of solids · 1 mark · Multiple choice

For a non-magnetic metal, which one of the following graphs best represents the behaviour of C T vs. T2, where C is the heat capacity and T is the temperature?

Candidate C/T versus T-squared graphs.
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) Option B in the figure

Explanation

$C=\gamma T+\beta T^3$, so $C/T=\gamma+\beta T^2$ is a straight line with a positive intercept.