The temperature of a body is measured by both Celsius and Fahrenheit thermometer. The temperature measured by the Fahrenheit thermometer will be

Options

A. always less than celsius
B. always more than celsius
C. aqual to celsius
D. None of these

Answer

To solve the question regarding the relationship between temperatures measured in Celsius and Fahrenheit, we need to understand the conversion formula between these two temperature scales.

### Step-by-Step Solution:

1. **Understand the Conversion Formula**:
The relationship between Celsius (C) and Fahrenheit (F) is given by the formula:
\[ F = \frac{9}{5}C + 32 \]
This means that for every degree increase in Celsius, the Fahrenheit temperature increases by \( \frac{9}{5} \) degrees.

2. **Consider the Same Temperature**:
When we measure the same physical temperature using both Celsius and Fahrenheit thermometers, we need to evaluate how they compare.

3. **Evaluate the Temperature Change**:
If the temperature in Celsius increases by 1 degree, the corresponding increase in Fahrenheit will be:
\[ \Delta F = \frac{9}{5} \Delta C = \frac{9}{5} \times 1 = 1.8 \text{ degrees Fahrenheit} \]
This indicates that for every 1 degree Celsius increase, the Fahrenheit scale increases by 1.8 degrees.

4. **Determine the Comparison**:
Since the Fahrenheit scale increases more rapidly than the Celsius scale for the same physical temperature change, we can conclude that:
- If the temperature is measured at the same point, the Fahrenheit reading will always be higher than the Celsius reading (except at -40 degrees where they are equal).

5. **Conclusion**:
Therefore, when the temperature of a body is measured by both Celsius and Fahrenheit thermometers, the temperature measured by the Fahrenheit thermometer will be **greater** than that measured by the Celsius thermometer.

### Final Answer:
The temperature measured by the Fahrenheit thermometer will be **more** than that measured by the Celsius thermometer.

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