Final answer:
The question involves the thermal expansion of a liquid relative to its container. The ratio of absolute to apparent expansion for the liquid is 7:6, since the volume expansion coefficient of the liquid is seven times that of the vessel. The correct answer is B. 7/6.
Step-by-step explanation:
The question revolves around the concept of thermal expansion in physics. When a liquid in a container is heated, both expand due to the increase in temperature, but usually at different rates.
We are given that the volume coefficient of expansion for the liquid (βliquid) is 7 times higher than that of the vessel (βvessel). The absolute expansion of the liquid is the actual increase in volume due to heating, while the apparent expansion is the observed increase in volume after accounting for the expansion of the container.
To find the ratio of absolute to apparent expansion, we need to understand that the apparent expansion is the difference between the absolute expansion of the liquid and the expansion of the vessel. If βvessel is the volume coefficient of expansion of the vessel, then for a unity volume increase in temperature, the vessel expands by βvessel, and the liquid expands by 7βvessel.
Therefore, the apparent increase in volume of the liquid is actually 7βvessel - βvessel = 6βvessel.
So, the ratio of absolute expansion (βliquid) and apparent expansion (6βvessel) of the liquid is 7:6, which simplifies to 7/6. The correct answer is B. 7/6.