The following are the given statements;

(a) A system X is in thermal equilibrium with Y but not with Z. The systems 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. The 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 systems Y and Z may be in thermal equilibrium with each other.

Choose the correct alterative/s:

1.  (b, d)

2.  (a, d)

3.  (c, d)

4.  (a, c, d)

(1) Hint: Use the concept of Zeroth law.
Step 1: Analyse the first situation.
According to the question,
If, Tx=Ty               (x and y are in thermal equilibrium)
TxTz                              ( x is not in thermal equilibrium with z)
Clearly, TyTz
Hence, y and z are not in thermal equilibrium.
Step 2: Analyse the second situation.
Given, TxTy and TxTz
We cannot say about the equilibrium of Y and Z, they may or may not be in equilibrium.