On celcius scale the temperature of body increases by 40°C. The increase in temperature on Fahrenheit scale is:

Concept Used:

The relationship between temperature changes in Celsius (°C) and Fahrenheit (°F) is given by:

Fahrenheit Temperature Formula:

F = C × (9/5) + 32

For temperature change (not absolute temperature conversion):

ΔF = ΔC × (9/5)

Calculation:

Given,

Temperature change in Celsius, ΔC = 40°C

The relationship between Celsius and Fahrenheit temperature change is:

⇒ ΔF = ΔC × (9/5)

⇒ ΔF = 40 × (9/5)

⇒ ΔF = 40 × 1.8

⇒ ΔF = 72°F

∴ The correct answer is 72°F.

Common Errors to Avoid:

• Using the wrong formula: The absolute temperature conversion formula F = C × (9/5) + 32 is sometimes applied incorrectly instead of the formula for temperature change ΔF = ΔC × (9/5).
• Incorrectly adding 32: The +32 term in the formula F = C × (9/5) + 32 applies only when converting absolute temperatures, not when calculating a temperature increase.
• Confusing ΔF with absolute F: A common mistake is computing F = 40 × (9/5) + 32 = 104°F, which gives an absolute temperature rather than a temperature change.