Question

If x and y are the temperatures of the hot and cold water samples respectively and z is the final temperature of their mixture, then

• A. \(y > x> z\)
• B. \(x > y> z\)
• C. \(x > z> y\)
• D. \(y > z> x\)

Answer 1

The Correct Option is C

Correct answer: \(x > z > y\)

Explanation: 
Let:
- \( x \) = temperature of hot water
- \( y \) = temperature of cold water
- \( z \) = final temperature after mixing 
When hot and cold water are mixed, the final temperature \( z \) will be between the temperatures of hot and cold water. That is: \[ x > z > y \] This is due to the principle of thermal equilibrium: heat flows from hot water to cold water until both reach a common intermediate temperature. 

Hence, the correct answer is: \(x > z > y\).