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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

Answers (1)

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,

T_{x}= T_{y} & T_{x} is not equal to T_{z}.

Thus, T_{x} = T_{y} \neq T_{z}.hence, it is incorrect.

(b) System Y and Z are not in thermal equilibrium since,

T_{x} = T_{y} and T_{x} \neq T_{z}

Thus, T_{y} \neq T_{z}. Thus, (b) is correct.

(c) Y and Z are not in thermal equilibrium because,

T_{x} \neq T_{y} and T_{x} \neq T_{z}

Thus, T_{y} \neq T_{z}. Hence, opt (c) is incorrect.

(d) Here,

T_{x} \neq T_{y} & T_{x} \neq T_{z}.

Here, T_{z} may be equal to T_{y}. Hence, opt (d) is correct.

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