JEE Main 2024 · 4 April · morning · Single correct · +4 / −1

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

  1. (a) 75° F
  2. (b) 70° F
  3. (c) 72° F
  4. (d) 68° F
Answer and solution

Answer (c) 72° F

Solution

Physics sir · 3 steps

A change in temperature has no offset: only the size of the degree matters, and one °C step is 9/5 °F.

  1. Compare the scales. Between the ice point and the steam point, the Celsius scale has 100 divisions and the Fahrenheit scale has 212 - 32 = 180 divisions. So 1°C of change equals 180/100 = 9/5 of a Fahrenheit degree.
  2. Drop the 32. The 32 in F = 9/5C + 32 only shifts where zero sits. When you subtract two readings it cancels, so a change follows the ratio alone.

    Δ F = 9/5 Δ C = 9/5 × 40 = 72

  3. So. The temperature rises by 72°F, which is option (c).

The idea to keep. For a temperature difference, use Δ F = 9/5Δ C with no 32 added. The offset matters only when you convert an actual reading, never a change.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Thermometry & Calorimetry

Asked about 50 times in JEE Main since 2020. This question is from 2024.