Question

On Celsius scale, the temperature of a body increases by \( 40^\circ C \). The increase in temperature on Fahrenheit scale is:

• A. \( 70^\circ F \)
• B. \( 68^\circ F \)
• C. \( 72^\circ F \)
• D. \( 75^\circ F \)

Hint:

To convert Celsius to Fahrenheit, use \( F = \frac{9}{5} C + 32 \).

Answer 1

The Correct Option is C

Step 1: {Conversion formula}
\[ \frac{F - 32}{9} = \frac{C}{5} \] Step 2: {Applying temperature change}
\[ \Delta C = \frac{5}{9} \Delta F \] \[ 40 = \frac{5}{9} \Delta F \Rightarrow \Delta F = 72^\circ F \] Thus, the correct answer is \( 72^\circ F \).

Answer 2

Step 1: Understand the relationship between Celsius and Fahrenheit temperature scales.
The formula to convert a temperature difference from Celsius to Fahrenheit is:
\( \Delta F = \frac{9}{5} \times \Delta C \)

Step 2: Given that the increase in temperature on the Celsius scale is \( 40^\circ C \).
Use the conversion formula:
\( \Delta F = \frac{9}{5} \times 40 = 72^\circ F \)

Final Answer: \( 72^\circ F \)