Heat and Thermodynamics 2 Question 7
10. A cube of coefficient of linear expansion is floating in a bath containing a liquid of coefficient of volume expansion . When the temperature is raised by , the depth upto which the cube is submerged in the liquid remains the same. Find the relation between and showing all the steps.
(2004, 2M)
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Answer:
Correct Answer: 10.
Solution:
- When the temperature is increased, volume of the cube will increase while density of liquid will decrease. The depth upto which the cube is submerged in the liquid remains the same.
Upthrust
Solving this equation, we get