Question

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

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

Answer 1

The Correct Option is C

Relationship Between Celsius and Fahrenheit Scales:
The relationship between temperature changes on the Celsius scale (\( \Delta C \)) and the Fahrenheit scale (\( \Delta F \)) is given by:
\[ \Delta F = \Delta C \times 1.8 \] 

Calculate the Change in Fahrenheit:
Given \( \Delta C = 40^\circ C \), 

we can find \( \Delta F \) as follows:
\[ \Delta F = 40 \times 1.8 = 72^\circ F \] 

Conclusion:
The increase in temperature on the Fahrenheit scale corresponding to a \( 40^\circ C \) increase is \( 72^\circ F \).

Answer 2

Step 1: Given data.
The increase in temperature on the Celsius scale is \( 40^\circ \text{C} \).
We need to find the corresponding increase on the Fahrenheit scale.

Step 2: Relation between Celsius and Fahrenheit scales.
The conversion relation between Fahrenheit and Celsius is:
\[ F = \frac{9}{5}C + 32 \] However, when considering a temperature change, the constant 32 is not included (since it cancels out).
Thus, the change in Fahrenheit temperature is given by:
\[ \Delta F = \frac{9}{5} \Delta C \]

Step 3: Substitute the given change in Celsius.
\[ \Delta F = \frac{9}{5} \times 40 = 9 \times 8 = 72. \]

Final Answer:
\[ \boxed{72^\circ \text{F}} \]