Question

The temperatures of two bodies differ by 1°C. How much will they differ on Fahrenheit scale?

• A. 1°F
• B. 1.2°F
• C. 2.4°F
• D. 1.8°F

Hint:

To convert a temperature difference from Celsius to Fahrenheit, multiply by 1.8.

Answer 1

The Correct Option is D

The problem requires us to convert a temperature difference from Celsius to Fahrenheit. The conversion formula between Celsius and Fahrenheit is:

F = (C × 9/5) + 32

For temperature differences, the constant 32 does not affect the result, so we only need:

ΔF = ΔC × 9/5

Given that the temperature difference ΔC is 1°C:

ΔF = 1 × 9/5 = 9/5 = 1.8°F

Thus, the temperature difference of 1°C corresponds to a difference of 1.8°F on the Fahrenheit scale. The correct answer is 1.8°F.

Answer 2

This question asks how a 1°C temperature difference translates onto the Fahrenheit scale. The trick is to work with two actual temperature readings instead of just the difference, then see which option survives.

1. 1°F: If a 1°C gap mapped to a 1°F gap, the two scales would move at the same rate. But the Fahrenheit scale has 180 degrees between freezing and boiling water (32°F to 212°F), while Celsius has only 100 degrees over the same range. A 1:1 gap is too small and does not match that ratio.
2. 1.2°F: Take two points a known Celsius gap apart, say 0°C and 1°C. In Fahrenheit these are 32°F and 33.8°F, a gap of 1.8°F, not 1.2°F. So this option undercounts the gap.
3. 2.4°F: This overshoots the true gap. If it were correct, a 10°C difference would show up as 24°F, but the freezing-to-boiling check (100°C = 180°F) fixes the rate at 1.8°F per 1°C, not 2.4°F.
4. 1.8°F: Using 0°C = 32°F and 1°C = 33.8°F, the Fahrenheit gap is 33.8 - 32 = 1.8°F. This matches the fixed rate of 180°F spread over 100°C, which reduces to 9/5 = 1.8.

Checking two real temperature points a known amount apart is a good way to sanity test a scale-conversion question instead of just plugging into the difference formula. The freezing point (0°C = 32°F) and boiling point (100°C = 212°F) fix the Celsius-to-Fahrenheit rate at 180/100 = 9/5 degrees Fahrenheit for every 1 degree Celsius.

So the correct answer is 1.8°F.