Which of the following best represents the temperature versus heat supplied graph for water, in the range of -20 to 120…

Q: Which of the following best represents the temperature versus heat supplied graph for water, in the range of -20 to 120 ?

Q = mcDelta T Q = mL When heat is supplied steadily: 1. Ice warms from -20 to 0 (slope = 1/(m cdot cice)). 2. Ice melts at 0 (temperature constant, flat horizontal line). 3. Water warms from 0 to 100 (slope = 1/(m cdot cwater)). 4. Water boils at 100 (temperature constant, longer flat horizontal line because Lv > Lf). 5. Steam warms from 100 to 120. The graph must have two flat plateaus corresponding to phase changes at 0 and 100. The heating curves (slanted lines) should show the temperature ri

Year	2026	2025	2024	Total
Questions	5	7	1	13

Year

2026

2025

2024

Total

Questions

Solution & Explanation

Related Formula

$Q = mcΔ T$ $Q = mc\Delta T$ $Q = mL$ $Q = mL$

Core Logic

When heat is supplied steadily:

Ice warms from $-20°C$ $-20^{\circ}\mathrm{C}$ to $0°C$ $0^{\circ}\mathrm{C}$ (slope = $1/(m \cdot cice)$ $1/(m \cdot c_{\text{ice}})$).
Ice melts at $0°C$ $0^{\circ}\mathrm{C}$ (temperature constant, flat horizontal line).
Water warms from $0°C$ $0^{\circ}\mathrm{C}$ to $100°C$ $100^{\circ}\mathrm{C}$ (slope = $1/(m \cdot cwater)$ $1/(m \cdot c_{\text{water}})$).
Water boils at $100°C$ $100^{\circ}\mathrm{C}$ (temperature constant, longer flat horizontal line because $Lv > Lf$ $L_v > L_f$).
Steam warms from $100°C$ $100^{\circ}\mathrm{C}$ to $120°C$ $120^{\circ}\mathrm{C}$.

Step 1: Identifying Graph Features

The graph must have two flat plateaus corresponding to phase changes at $0°C$ $0^{\circ}\mathrm{C}$ and $100°C$ $100^{\circ}\mathrm{C}$. The heating curves (slanted lines) should show the temperature rising. Option (2) perfectly matches these distinct segments.

Pattern Recognition

Look for the horizontal phase-change steps precisely at 0 and 100 degrees Celsius for standard pressure $H₂O$ $\mathrm{H_2O}$.

Chapter Mix

Class 11 Physics: Thermal Properties of Matter

More Thermal Properties of Matter Previous-Year Questions — Page 3

Q10 jee_main_2025_24_jan_evening Temperature Scales

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

A. Graph (1)
B. Graph (2)
C. Graph (3)
D. Graph (4)

Solution

Related Formula

(C)/(5) = (F - 32)/(9)

Core Logic

Rearranging the conversion identity to express $C$ $C$ as a function of $F$ $F$:

C = (5)/(9)F - (160)/(9)

This is a straight line equation $y = mx + c$ $y = mx + c$ with:

Positive slope $m = (5)/(9)$ $m = \frac{5}{9}$
Negative $y$ $y$-intercept $c = -(160)/(9)$ $c = -\frac{160}{9}$ (at $F=0$ $F=0$, $C \approx -17.8°C$ $C \approx -17.8^{\circ}\mathrm{C}$)
Positive $x$ $x$-intercept at $C=0, F=32$ $C=0, F=32$

This completely matches the layout shown in Graph (2).

Correct linear plot for Celsius vs Fahrenheit conversion Q10 — celsius fahrenheit graph, temperature conversion line, linear scaling

Pattern Recognition

$0°C = 32°F$ . Therefore, the line must cross the positive side of the horizontal $F$ $F$ axis when $C=0$ $C=0$.

Chapter Mix

Class 11 Physics: Thermal Properties of Matter

Q16 jee_main_2025_24_jan_evening Newton's Law of Cooling

The temperature of a body in air falls from

40°

C to

24°

C in 4 minutes. The temperature of the air is

16°

C. The temperature of the body in the next 4 minutes will be:

A. $(14)/(3)°C$ $\frac{14}{3}^{\circ}\mathrm{C}$
B. $(28)/(3)°C$ $\frac{28}{3}^{\circ}\mathrm{C}$
C. $(56)/(3)°C$ $\frac{56}{3}^{\circ}\mathrm{C}$
D. $(42)/(3)°C$ $\frac{42}{3}^{\circ}\mathrm{C}$

Solution

Related Formula

(T₁ - T₂)/(t) = K[(T₁ + T₂)/(2) - Tₛ]

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 $Tₛ = 16°C$ $T_s = 16^{\circ}\mathrm{C}$):

(40 - 24)/(4) = K[(40 + 24)/(2) - 16]

(16)/(4) = K[32 - 16] 4 = 16K K = (1)/(4)

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

(24 - T)/(4) = (1)/(4)[(24 + T)/(2) - 16]

24 - T = (24 + T)/(2) - 16

40 - T = (24 + T)/(2)

80 - 2T = 24 + T 3T = 56 T = (56)/(3)°C

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

Q jee_main_2024_30_january_evening Heating Curve of Water

A block of ice at

-10°C

is slowly heated and converted to steam at

100°C

. Which of the following curves represent the phenomenon qualitatively:

Solution

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

Which of the following best represents the temperature versus heat supplied graph for water, in the range of $-20°C$ $-20^{\circ}\mathrm{C}$ to $120°C$ $120^{\circ}\mathrm{C}$ ?

Solution & Explanation

Related Formula

Core Logic

Step 1: Identifying Graph Features

Pattern Recognition

Chapter Mix

Reference Study Guides

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Pattern Recognition

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Related Formula

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Which of the following best represents the temperature versus heat supplied graph for water, in the range of -20°C$-20^{\circ}\mathrm{C}$ to 120°C$120^{\circ}\mathrm{C}$ ?

Solution & Explanation

Related Formula

Core Logic

Step 1: Identifying Graph Features

Pattern Recognition

Chapter Mix

Reference Study Guides

More Thermal Properties of Matter Previous-Year Questions — Page 3

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Related Formula

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Which of the following best represents the temperature versus heat supplied graph for water, in the range of $-20°C$ $-20^{\circ}\mathrm{C}$ to $120°C$ $120^{\circ}\mathrm{C}$ ?