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11
MCQ (Multiple Correct Answer)

Refer to the plot of temperature versus time (figure) showing the changes in the state if ice on heating (not to scale). Which of the following is correct?

A
The region $A B$ represent ice and water in thermal equilibrium
B
At $B$ water starts boiling
C
At $C$ all the water gets converted into steam
D
$C$ to $D$ represents water and steam in equilibrium at boiling point
12
MCQ (Multiple Correct Answer)

A glass full of hot milk is poured on the table. It begins to cool gradually. Which of the following is correct?

A
The rate of cooling is constant till milk attains the temperature of the surrounding
B
The temperature of milk falls off exponentially with time
C
While cooling, there is a flow of heat from milk to the surrounding as well as from surrounding to the milk but the net flow of heat is from milk to the surrounding and that is why it cools
D
All three phenomenon, conduction, convection and radiation are responsible for the loss of heat from milk to the surroundings
13
Subjective

Is the bulb of a thermometer made of diathermic or adiabatic wall?

Explanation

As diathermic walls allow exchange of heat energy between two systems and adiabatic walls do not, hence, diathermic walls are used to make the bulb of a thermometer.

14
Subjective

A student records the initial length $l$, change in temperature $\Delta T$ and change in length $\Delta l$ of a rod as follows

S. No. $$l$$ (m) $$\Delta T$$ ($$^\circ$$C) $$\Delta l$$(m)
1. 2 10 $$4\times10^{-4}$$
2. 1 10 $$4\times10^{-4}$$
3. 2 20 $$2\times10^{-4}$$
4. 3 10 $$6\times10^{-4}$$

If the first observation is correct, what can you say about observation 2, 3 and 4.

Explanation

From the 1st observation $\alpha=\frac{\Delta l}{l \Delta T} \Rightarrow \alpha=\frac{4 \times 10^{-4}}{2 \times 10}=2 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$

For 2nd observation $$ \begin{aligned} \Delta l & =\alpha l \Delta T \\ & =2 \times 10^{-5} \times 1 \times 10=2 \times 10^{-4} \mathrm{~m} \neq 4 \times 10^{-4} \mathrm{~m} \text { (Wrong) } \end{aligned}$$

For 3rd observation $$\begin{aligned} \Delta l & =\alpha l \Delta T \\ & =2 \times 10^{-5} \times 2 \times 20=8 \times 10^{-4} \mathrm{~m} \neq 2 \times 10^{-4} \mathrm{~m}(\text { Wrong }) \end{aligned}$$

For 4th observation $$\begin{aligned} \Delta l & =\alpha l \Delta T \\ & =2 \times 10^{-5} \times 3 \times 10=6 \times 10^{-4} \mathrm{~m}=6 \times 10^{-4} \mathrm{~m} \quad \text{[i.e., observed value (Correct)]} \end{aligned}$$

15
Subjective

Why does a metal bar appear hotter than a wooden bar at the same temperature? Equivalently it also appears cooler than wooden bar if they are both colder than room temperature.

Explanation

Due to difference in conductivity, metals having high conductivity compared to wood. On touch with a finger, heat from the surrounding flows faster to the finger from metals and so one feels the heat. Similarly, when one touches a cold metal the heat from the finger flows away to the surroundings faster.