Mark the correct options:
a) A system X is in thermal equilibrium with Y but not with Z. System Y and Z may be in thermal equilibrium with each other
b) A system X is in thermal equilibrium with Y but not with Z. Systems Y and Z are not in thermal equilibrium with each other
c) A system X is neither in thermal equilibrium with Y nor with Z. The systems Y and Z must be in thermal equilibrium with each other
d) A system X is neither in thermal equilibrium with Y nor with Z. The system Y and Z may be in thermal equilibrium with each other
The answer is the option (b) A system X is in thermal equilibrium with Y but not with Z. System Y and Z are not in thermal equilibrium with each other and option (d) A system X is neither in thermal equilibrium with Y nor with Z. The system Y and Z may be in thermal equilibrium with each other.
Explanation: (a) Here Y and Z are not in thermal equilibrium since,
& is not equal to .
Thus, hence, it is incorrect.
(b) System Y and Z are not in thermal equilibrium since,
and
Thus, . Thus, (b) is correct.
(c) Y and Z are not in thermal equilibrium because,
and
Thus, . Hence, opt (c) is incorrect.
(d) Here,
& .
Here, may be equal to . Hence, opt (d) is correct.