Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?

Related Formula

Core Logic

For the first interval (40°C$40^{\circ}\mathrm{C}$ to 24°C$24^{\circ}\mathrm{C}$ in 4$4\ \mathrm{\min}$ with Tₛ = 16°C$T_s = 16^{\circ}\mathrm{C}$):

For the next 4 minutes, let the final temperature be T$T$:

Pattern Recognition

Newton's law of cooling approximation works beautifully when temperature differences are small. Always compute K$K$ from the first step and substitute directly into the second.

Chapter Mix

Class 11 Physics: Thermal Properties of Matter

Core Logic

The heating curve traces temperature vs heat supplied. Stage 1: Ice at -10°C$-10^{\circ}\mathrm{C}$ is heated to 0°C$0^{\circ}\mathrm{C}$ (Temperature rises, solid phase). Stage 2: Ice melts at 0°C$0^{\circ}\mathrm{C}$ into water (Temperature remains constant until all ice melts). This is a horizontal plateau. Stage 3: Water is heated from 0°C$0^{\circ}\mathrm{C}$ to 100°C$100^{\circ}\mathrm{C}$ (Temperature rises, liquid phase). Stage 4: Water boils at 100°C$100^{\circ}\mathrm{C}$ into steam (Temperature remains constant). This is a second horizontal plateau.

Option (4) correctly shows this sequential step-like graph.

Pattern Recognition

Heating curves always exhibit horizontal segments during phase changes (latent heat) where temperature remains constant. The slopes of the inclined regions depend on the specific heat capacities of the respective phases.

Chapter Mix

Class 11 Physics: Thermal Properties of Matter