There is a difference of `45^@F` in the temperature of two bodies. It's value would be

Options

A. `30^@C`
B. `20^@C`
C. `40^@C`
D. none of these

Explanation

To convert a temperature difference from Fahrenheit to Celsius, we can use the formula:

\[ C = \frac{5}{9} (F - 32) \]

However, since we are dealing with a temperature difference (not absolute temperatures), we can simplify our approach. The difference in temperature in Celsius can be calculated using the following simplified relationship:

\[ \Delta C = \frac{5}{9} \Delta F \]

Where:
- \(\Delta C\) is the difference in temperature in Celsius.
- \(\Delta F\) is the difference in temperature in Fahrenheit.

Given that the difference in temperature (\(\Delta F\)) is 45°F, we can substitute this value into the equation:

1. **Step 1: Substitute the value of \(\Delta F\) into the formula.**
\[ \Delta C = \frac{5}{9} \times 45 \]

2. **Step 2: Calculate the multiplication.**
\[ \Delta C = \frac{5 \times 45}{9} \]

3. **Step 3: Perform the multiplication.**
\[ \Delta C = \frac{225}{9} \]

4. **Step 4: Divide to find \(\Delta C\).**
\[ \Delta C = 25 \]

Thus, the temperature difference of 45°F is equivalent to 25°C.

**Final Answer: 25°C**

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