if two temperatures differ by `25` degree on celsius scale, the difference of temperature on Fahrenheit scale is

Options

A. `45^(@) F`
B. `72^(@)F`
C. `32^(@)F`
D. `25^(@)F`

Explanation

To solve the problem of finding the difference in temperature on the Fahrenheit scale when the difference on the Celsius scale is given as 25 degrees, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Celsius and Fahrenheit:**
The relationship between the Celsius temperature (Tc) and the Fahrenheit temperature (Tf) is given by the formula:
\[ Tf = \frac{9}{5} \cdot Tc + 32 \]

2. **Identify the Change in Temperature:**
We are given that the difference in temperature on the Celsius scale is:
\[ \Delta Tc = 25 \text{ degrees Celsius} \]

3. **Express the Change in Fahrenheit:**
The change in temperature on the Fahrenheit scale can be expressed in terms of the change in Celsius using the formula:
\[ \Delta Tf = \frac{9}{5} \cdot \Delta Tc \]

4. **Substitute the Given Value:**
Now, substitute the value of \(\Delta Tc\) into the equation:
\[ \Delta Tf = \frac{9}{5} \cdot 25 \]

5. **Calculate the Change in Fahrenheit:**
Performing the multiplication:
\[ \Delta Tf = \frac{9 \cdot 25}{5} = \frac{225}{5} = 45 \text{ degrees Fahrenheit} \]

6. **Conclusion:**
Therefore, the difference in temperature on the Fahrenheit scale is:
\[ \Delta Tf = 45 \text{ degrees Fahrenheit} \]

### Final Answer:
The difference of temperature on the Fahrenheit scale is **45 degrees Fahrenheit**.

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