On Celsius scale, the temperature of a body increases by \( 40^\circ \text{C} \). The increase in temperature on Fahrenheit scale is:
- \( 70^\circ \text{F} \)
- \( 68^\circ \text{F} \)
- \( 72^\circ \text{F} \)
- \( 75^\circ \text{F} \)
The Correct Option is C
Solution and Explanation
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 \( 72^\circ F \).
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