![Consider a one-dimensional gas of π non-interacting particles of mass π with the Hamiltonian for a single particle given by](https://www.gkseries.com/blog/wp-content/uploads/2023/09/Consider-a-one-dimensional-gas-of-π-non-interacting-particles-of-mass-π-with-the-Hamiltonian-for-a-single-particle-given-by.jpg)
Q. Consider a one-dimensional gas of π non-interacting particles of mass π with the Hamiltonian for a single particle given by ,
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/image-18.png)
The high temperature specific heat in units of π = πππ΅ (ππ΅ is the Boltzmann constant) is
(A) 1 |
(B) 1.5 |
(C) 2 |
(D) 2.5 |
Ans: 1