Mark the correct options: - Vidyadip

MCQ

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 system $Y$ and $Z$ may be in thermal equilibrium with each other.
✓
Both $B$ and $C$

✓

Answer

Correct option: D.

Both $B$ and $C$

Key concept: Two bodies are said to be in thermal equilibrium with each other, when no heat flows from one body to the other. That is when both the bodies are at the same temperature.
According to the problem,
$b.$ If two systems $X$ and $Y$ are in thermal equilibrium, i.e., $\mathrm{T}_{\mathrm{X}}=\mathrm{T}_{\mathrm{y}}$ and $x$ is not in thermal equilibrium with $z$ , i.e., $T_X \neq T_z$ then clearly, $T_y \neq T_Z$ Hence, $y$ and $z$ are not in thermal equilibrium.
$c.$ If $X$ ais not in thermal equilibrium with $Y$, i.e., $T_X \neq T_y$ and also $X$ is not thermal equilibrium with $Y$, i.e., $T_X$ $\neq T_Z$. Then we cannot say about equilibrium of $Y$ and $Z$, they may or may not be in equilibrium.

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