Consider a one-dimensional gas of 𝑁 non-interacting particles of mass 𝑚 with the Hamiltonian for a single particle given by

Q. Consider a one-dimensional gas of 𝑁 non-interacting particles of mass 𝑚 with the Hamiltonian for a single particle given by ,

The high temperature specific heat in units of 𝑅 = 𝑁𝑘_𝐵 (𝑘_𝐵 is the Boltzmann constant) is

(A) 1

(B) 1.5

(C) 2

(D) 2.5

Ans: 1