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Question

Physics Question on Thermodynamics

On Celsius scale, the temperature of a body increases by 40C40^\circ \text{C}. The increase in temperature on Fahrenheit scale is:

A

70F70^\circ \text{F}

B

68F68^\circ \text{F}

C

72F72^\circ \text{F}

D

75F75^\circ \text{F}

Answer

72F72^\circ \text{F}

Explanation

Solution

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

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

we can find ΔF\Delta F as follows:
ΔF=40×1.8=72F\Delta F = 40 \times 1.8 = 72^\circ F

Conclusion:
The increase in temperature on the Fahrenheit scale corresponding to a 40C40^\circ C increase is 72F72^\circ F.