This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here's the breakdown of "Item two":
a) i) The device the doctor used is a thermometer, specifically a clinical thermometer.
ii) The liquids that can be used to make a thermometer are mercury and alcohol.
iii) Explanation to the mother:
b) To find the child's body temperature, we use the principle of linear expansion for a thermometer.
Step 1: Identify the known values. The length of the liquid column from the lower fixed point is . The total length between the lower fixed point () and the upper fixed point () is .
Step 2: Use the formula for temperature on a linear scale. The temperature can be calculated using the formula: For the Celsius scale, the lower fixed point is and the upper fixed point is .
Step 3: Substitute the values into the formula.
Step 4: Calculate the temperature.
The child's body temperature is .
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This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.