Mark the correct options

Options

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 but not with Z. The system 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 system 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.

Answer

B, D

Explanation

According ot question
`T_(x)=T_(y)` (`because` x and y are in thermal equilibrium)
`T_(x) != T_(z)` (`because` x is not in thermal equilibrium with z)
Clearly, `T_(y) != T_(z)`
Hence, y and z are not in thermal equilibrium.
(d) Gievn, `T_(x) != T_(y)`
and `T_(x) != T_(z)`
We cannot sya about equilibrium of Y and Z, they may or may not be in equilibrium.