Question

If two temperatures differ by \(25\ ^{\circ }\text{C}\) on Celsius scale, the difference in temperature on Fahrenheit scale is

• A. \(65\ \text{F}\)
• B. \(45\ \text{F}\)
• C. \(38\ \text{F}\)
• D. \(25\ \text{F}\)

Hint:

A change of 100 Celsius degrees equals a change of 180 Fahrenheit degrees, so multiply by 9/5.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept
The relation \(F=\frac{9}{5}C+32\) means a temperature difference converts as \(\Delta F=\frac{9}{5}\Delta C\); the constant 32 cancels.

Step 2: Calculation
\(\Delta F=\frac{9}{5}\times 25=45\).

Step 3: Compare the options
The difference is \(45\ \text{F}\), which matches the second option.

Final Answer:
The difference on the Fahrenheit scale is \(45\ \text{F}\). \[ \boxed{\text{(B) }45\ \text{F}} \]