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Complete Syllabus Question Paper
Grade 11 : Physics - Thermal Properties (Set 5)— Questions & Detailed Solutions
Q1
Convert a room temperature reading of $27^\circ\text{C}$ into the absolute Kelvin scale.
(A)
300.15 K
(B)
273.15 K
(C)
327.15 K
(D)
373.15 K
Q2
A copper rod of original length $L_0 = 2.0m$ is heated uniformly.If the temperature increases from $20^\circ\text{C}$ to $70^\circ\text{C}$ and the coefficient of linear expansion $\alpha = 1.2 \times 10^{-5}\text{ K}^{-1}$, calculate the increase in length $\Delta L$.
A copper rod of original length $L_0 = 2.0m$ is heated uniformly.
If the temperature increases from $20^\circ\text{C}$ to $70^\circ\text{C}$ and the coefficient of linear expansion $\alpha = 1.2 \times 10^{-5}\text{ K}^{-1}$, calculate the increase in length $\Delta L$.
(A)
0.6 mm
(B)
1.2 mm
(C)
2.4 mm
(D)
3.6 mm
Q3
If the coefficient of linear thermal expansion for an isotropic solid is $\alpha = 2.0 \times 10^{-5}\text{ K}^{-1}$, what is its coefficient of volume expansion $\gamma$?
If the coefficient of linear thermal expansion for an isotropic solid is $\alpha = 2.0 \times 10^{-5}\text{ K}^{-1}$, what is its coefficient of volume expansion $\gamma$?
(A)
$2.0 \times 10^{-5}\text{ K}^{-1}$
(B)
$4.0 \times 10^{-5}\text{ K}^{-1}$
(C)
$6.0 \times 10^{-5}\text{ K}^{-1}$
(D)
$8.0 \times 10^{-5}\text{ K}^{-1}$
Q4
At what temperature does water exhibit its maximum density under standard atmospheric pressure?
At what temperature does water exhibit its maximum density under standard atmospheric pressure?
(A)
$0^\circ\text{C}$
(B)
$4^\circ\text{C}$
(C)
$100^\circ\text{C}$
(D)
$-4^\circ\text{C}$
Q5
Calculate the amount of heat required to raise the temperature of 0.5 kg of liquid water from $20^\circ\text{C}$ to $60^\circ\text{C}$. (Specific heat capacity of water $c = 4200\text{ J kg}^{-1}\text{K}^{-1}$)
Calculate the amount of heat required to raise the temperature of 0.5 kg of liquid water from $20^\circ\text{C}$ to $60^\circ\text{C}$. (Specific heat capacity of water $c = 4200\text{ J kg}^{-1}\text{K}^{-1}$)
(A)
42 kJ
(B)
84 kJ
(C)
168 kJ
(D)
210 kJ
Q6
Which of the following represents the correct SI unit for thermal conductivity ($K$)?
Which of the following represents the correct SI unit for thermal conductivity ($K$)?
(A)
$\text{J m}^{-1}\text{K}^{-1}$
(B)
$\text{W m}^{-1}\text{K}^{-1}$
(C)
$\text{W m K}^{-1}$
(D)
$\text{J K}^{-1}$
Q7
How much energy is required to completely melt 2.0 kg of ice at $0^\circ\text{C}$ to water at $0^\circ\text{C}$? (Latent heat of fusion $L_f = 3.33 \times 10^5\text{ J/kg}$)
How much energy is required to completely melt 2.0 kg of ice at $0^\circ\text{C}$ to water at $0^\circ\text{C}$? (Latent heat of fusion $L_f = 3.33 \times 10^5\text{ J/kg}$)
(A)
333 kJ
(B)
500 kJ
(C)
666 kJ
(D)
999 kJ
Q8
According to Wien's Displacement Law, how is the wavelength $\lambda_m$ corresponding to maximum spectral radiance related to absolute temperature $T$?
According to Wien's Displacement Law, how is the wavelength $\lambda_m$ corresponding to maximum spectral radiance related to absolute temperature $T$?
(A)
$\lambda_m \propto T$
(B)
$\lambda_m \propto T^2$
(C)
$\lambda_m \propto \frac{1}{T}$
(D)
$\lambda_m \propto \frac{1}{T^2}$
Q9
A black body at absolute temperature $T$ emits radiant energy at a rate $E$. If the absolute temperature is doubled to $2T$, what is the new rate of energy radiation?
A black body at absolute temperature $T$ emits radiant energy at a rate $E$. If the absolute temperature is doubled to $2T$, what is the new rate of energy radiation?
(A)
$2E$
(B)
$4E$
(C)
$8E$
(D)
$16E$
Q10
A bimetallic strip is constructed by riveting together a strip of brass ($\alpha = 19 \times 10^{-6}\text{ K}^{-1}$) and a strip of iron ($\alpha = 12 \times 10^{-6}\text{ K}^{-1}$).What happens to the bimetallic strip when it is uniformly heated?
A bimetallic strip is constructed by riveting together a strip of brass ($\alpha = 19 \times 10^{-6}\text{ K}^{-1}$) and a strip of iron ($\alpha = 12 \times 10^{-6}\text{ K}^{-1}$).
What happens to the bimetallic strip when it is uniformly heated?
(A)
It bends with the brass strip on the outer (convex) side.
(B)
It bends with the iron strip on the outer (convex) side.
(C)
It remains perfectly straight but expands in length.
(D)
It twists into a tight helical coil.
Q11
The heat transfer rate $H$ through a uniform solid rod of length $L$, cross-sectional area $A$, and thermal conductivity $K$ with temperature difference $\Delta T$ is given by:
The heat transfer rate $H$ through a uniform solid rod of length $L$, cross-sectional area $A$, and thermal conductivity $K$ with temperature difference $\Delta T$ is given by:
(A)
$H = \frac{K A \Delta T}{L}$
(B)
$H = \frac{K L \Delta T}{A}$
(C)
$H = \frac{A L \Delta T}{K}$
(D)
$H = K A L \Delta T$
Q12
Two metal rods of identical dimensions are joined end-to-end (in series). Their thermal conductivities are $K_1 = 100\text{ W m}^{-1}\text{K}^{-1}$ and $K_2 = 300\text{ W m}^{-1}\text{K}^{-1}$. What is the equivalent thermal conductivity $K_{eq}$?
Two metal rods of identical dimensions are joined end-to-end (in series). Their thermal conductivities are $K_1 = 100\text{ W m}^{-1}\text{K}^{-1}$ and $K_2 = 300\text{ W m}^{-1}\text{K}^{-1}$. What is the equivalent thermal conductivity $K_{eq}$?
(A)
$150\text{ W m}^{-1}\text{K}^{-1}$
(B)
$200\text{ W m}^{-1}\text{K}^{-1}$
(C)
$250\text{ W m}^{-1}\text{K}^{-1}$
(D)
$400\text{ W m}^{-1}\text{K}^{-1}$
Q13
Which mechanism of heat transfer can occur through a complete vacuum without requiring any physical medium?
Which mechanism of heat transfer can occur through a complete vacuum without requiring any physical medium?
(A)
Conduction
(B)
Convection
(C)
Radiation
(D)
Advection
Q14
A body cools from $60^\circ\text{C}$ to $50^\circ\text{C}$ in 5 minutes in a room at $20^\circ\text{C}$. Using Newton's Law of Cooling, find the cooling constant $k$ (in $\text{min}^{-1}$).
A body cools from $60^\circ\text{C}$ to $50^\circ\text{C}$ in 5 minutes in a room at $20^\circ\text{C}$. Using Newton's Law of Cooling, find the cooling constant $k$ (in $\text{min}^{-1}$).
(A)
$0.025\text{ min}^{-1}$
(B)
$0.057\text{ min}^{-1}$
(C)
$0.100\text{ min}^{-1}$
(D)
$0.143\text{ min}^{-1}$
Q15
What are the dimensional formula parameters for Specific Heat Capacity ($c$)?
What are the dimensional formula parameters for Specific Heat Capacity ($c$)?
(A)
$[\text{M L}^2 \text{T}^{-2} \text{K}^{-1}]$
(B)
$[\text{L}^2 \text{T}^{-2} \text{K}^{-1}]$
(C)
$[\text{M L T}^{-2} \text{K}^{-1}]$
(D)
$[\text{L T}^{-2} \text{K}^{-1}]$
Q16
At what temperature do the Celsius scale and Fahrenheit scale display the exact same numerical value?
At what temperature do the Celsius scale and Fahrenheit scale display the exact same numerical value?
(A)
$-40^\circ$
(B)
$0^\circ$
(C)
$40^\circ$
(D)
$100^\circ$
Q17
The radiation peak of a star occurs at wavelength $\lambda_m = 500\text{ nm}$. Using Wien's constant $b = 2.9 \times 10^{-3}\text{ m K}$, estimate the surface temperature of the star.
The radiation peak of a star occurs at wavelength $\lambda_m = 500\text{ nm}$. Using Wien's constant $b = 2.9 \times 10^{-3}\text{ m K}$, estimate the surface temperature of the star.
(A)
2900 K
(B)
5800 K
(C)
7200 K
(D)
11600 K
Q18
An aluminum plate has an initial surface area of $4.0m^2$ at $10^\circ\text{C}$. When heated to $60^\circ\text{C}$, what is the increase in area? ($\alpha_{\text{Al}} = 2.5 \times 10^{-5}\text{ K}^{-1}$)
An aluminum plate has an initial surface area of $4.0m^2$ at $10^\circ\text{C}$. When heated to $60^\circ\text{C}$, what is the increase in area? ($\alpha_{\text{Al}} = 2.5 \times 10^{-5}\text{ K}^{-1}$)
(A)
$0.005m^2$
(B)
$0.010m^2$
(C)
$0.020m^2$
(D)
$0.040m^2$
Q19
How much heat energy is released when 0.25 kg of steam at $100^\circ\text{C}$ condenses into liquid water at $100^\circ\text{C}$? (Latent heat of vaporization $L_v = 2.26 \times 10^6\text{ J/kg}$)
How much heat energy is released when 0.25 kg of steam at $100^\circ\text{C}$ condenses into liquid water at $100^\circ\text{C}$? (Latent heat of vaporization $L_v = 2.26 \times 10^6\text{ J/kg}$)
(A)
282.5 kJ
(B)
452.0 kJ
(C)
565.0 kJ
(D)
1130.0 kJ
Q20
In a calorimetry experiment, 0.1 kg of an unknown metal block at $100^\circ\text{C}$ is dropped into 0.2 kg of water at $20^\circ\text{C}$. The final equilibrium temperature is $25^\circ\text{C}$.Find the specific heat capacity of the metal, assuming negligible heat loss to the surroundings. ($c_{\text{water}} = 4200\text{ J kg}^{-1}\text{K}^{-1}$)
In a calorimetry experiment, 0.1 kg of an unknown metal block at $100^\circ\text{C}$ is dropped into 0.2 kg of water at $20^\circ\text{C}$. The final equilibrium temperature is $25^\circ\text{C}$.
Find the specific heat capacity of the metal, assuming negligible heat loss to the surroundings. ($c_{\text{water}} = 4200\text{ J kg}^{-1}\text{K}^{-1}$)
(A)
$280\text{ J kg}^{-1}\text{K}^{-1}$
(B)
$420\text{ J kg}^{-1}\text{K}^{-1}$
(C)
$560\text{ J kg}^{-1}\text{K}^{-1}$
(D)
$840\text{ J kg}^{-1}\text{K}^{-1}$

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