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

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

The high temperature specific heat in units of 𝑅 = π‘π‘˜π΅ (π‘˜π΅ is the Boltzmann constant) is

(A) 1
(B) 1.5
(C) 2
(D) 2.5

Ans: 1
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