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Complete Syllabus Question Paper
Grade 11 : Physics - Thermal Properties (Set 1)— Questions & Detailed Solutions
Q1
Which law of thermodynamics provides the fundamental basis for the definition and measurement of temperature?
(A)
First Law of Thermodynamics
(B)
Second Law of Thermodynamics
(C)
Zeroth Law of Thermodynamics
(D)
Third Law of Thermodynamics
Q2
Convert a temperature reading of $35^\circ\text{C}$ on the Celsius scale to the absolute Kelvin scale.
Convert a temperature reading of $35^\circ\text{C}$ on the Celsius scale to the absolute Kelvin scale.
(A)
308.15 K
(B)
238.15 K
(C)
310.15 K
(D)
273.15 K
Q3
At what temperature do the Celsius and Fahrenheit temperature scales display the exact same numerical value?
At what temperature do the Celsius and Fahrenheit temperature scales display the exact same numerical value?
(A)
$40^\circ$
(B)
$-40^\circ$
(C)
$0^\circ$
(D)
$-100^\circ$
Q4
A brass rod with initial length 2.0 m is heated such that its temperature increases by $50^\circ\text{C}$. If the coefficient of linear expansion of brass is $\alpha = 2.0 \times 10^{-5}\text{ K}^{-1}$, calculate the increase in length $\Delta L$.
A brass rod with initial length 2.0 m is heated such that its temperature increases by $50^\circ\text{C}$. If the coefficient of linear expansion of brass is $\alpha = 2.0 \times 10^{-5}\text{ K}^{-1}$, calculate the increase in length $\Delta L$.
(A)
0.2 mm
(B)
2.0 mm
(C)
4.0 mm
(D)
1.0 mm
Q5
For an isotropic solid material, what is the ratio of the coefficient of linear expansion ($\alpha$) to the coefficient of volume expansion ($\gamma$)?
For an isotropic solid material, what is the ratio of the coefficient of linear expansion ($\alpha$) to the coefficient of volume expansion ($\gamma$)?
(A)
$1 : 1$
(B)
$1 : 2$
(C)
$1 : 3$
(D)
$3 : 1$
Q6
How much thermal energy is required to raise the temperature of 0.5 kg of liquid water ($c = 4200\text{ J kg}^{-1}\text{K}^{-1}$) from $20^\circ\text{C}$ to $60^\circ\text{C}$?
How much thermal energy is required to raise the temperature of 0.5 kg of liquid water ($c = 4200\text{ J kg}^{-1}\text{K}^{-1}$) from $20^\circ\text{C}$ to $60^\circ\text{C}$?
(A)
84,000 J
(B)
42,000 J
(C)
168,000 J
(D)
21,000 J
Q7
At what temperature does pure liquid water reach its maximum mass density at standard atmospheric pressure?
At what temperature does pure liquid water reach its maximum mass density at standard atmospheric pressure?
(A)
$0^\circ\text{C}$
(B)
$4^\circ\text{C}$
(C)
$100^\circ\text{C}$
(D)
$-4^\circ\text{C}$
Q8
Calculate the quantity of heat required to melt 0.2 kg of ice completely at $0^\circ\text{C}$. (Latent heat of fusion of ice $L_f = 3.33 \times 10^5\text{ J kg}^{-1}$)
Calculate the quantity of heat required to melt 0.2 kg of ice completely at $0^\circ\text{C}$. (Latent heat of fusion of ice $L_f = 3.33 \times 10^5\text{ J kg}^{-1}$)
(A)
66,600 J
(B)
33,300 J
(C)
16,650 J
(D)
666,000 J
Q9
Find the thermal heat capacity of an aluminum block having a mass of 4.0 kg, given that the specific heat capacity of aluminum is $900\text{ J kg}^{-1}\text{K}^{-1}$.
Find the thermal heat capacity of an aluminum block having a mass of 4.0 kg, given that the specific heat capacity of aluminum is $900\text{ J kg}^{-1}\text{K}^{-1}$.
(A)
$225\text{ J K}^{-1}$
(B)
$3600\text{ J K}^{-1}$
(C)
$1800\text{ J K}^{-1}$
(D)
$450\text{ J K}^{-1}$
Q10
What is the correct SI unit for thermal conductivity ($K$)?
What is the correct SI unit for thermal conductivity ($K$)?
(A)
$\text{W m K}^{-1}$
(B)
$\text{J m}^{-1}\text{K}^{-1}$
(C)
$\text{W m}^{-1}\text{K}^{-1}$
(D)
$\text{J s}^{-1}m^2\text{K}^{-1}$
Q11
A metal rod of thermal conductivity $200\text{ W m}^{-1}\text{K}^{-1}$, cross-sectional area $0.01m^2$, and length 0.5 m has its ends maintained at $100^\circ\text{C}$ and $20^\circ\text{C}$. Calculate the rate of conduction heat flow ($H$).
A metal rod of thermal conductivity $200\text{ W m}^{-1}\text{K}^{-1}$, cross-sectional area $0.01m^2$, and length 0.5 m has its ends maintained at $100^\circ\text{C}$ and $20^\circ\text{C}$. Calculate the rate of conduction heat flow ($H$).
(A)
320 W
(B)
160 W
(C)
640 W
(D)
80 W
Q12
Thermal resistance ($R$) of a conductor of length $L$, cross-sectional area $A$, and thermal conductivity $K$ is represented by which formula?
Thermal resistance ($R$) of a conductor of length $L$, cross-sectional area $A$, and thermal conductivity $K$ is represented by which formula?
(A)
$R = \frac{K A}{L}$
(B)
$R = \frac{L}{K A}$
(C)
$R = \frac{K L}{A}$
(D)
$R = \frac{1}{K A L}$
Q13
According to Newton's Law of Cooling, the rate of loss of heat from a body is directly proportional to:
According to Newton's Law of Cooling, the rate of loss of heat from a body is directly proportional to:
(A)
The absolute temperature of the body
(B)
The surface area of the surrounding medium only
(C)
The temperature difference between the body and its surroundings
(D)
The square of the temperature difference
Q14
According to Wien's Displacement Law, how does the peak wavelength $\lambda_m$ of maximum radiation emission vary with absolute temperature $T$?
According to Wien's Displacement Law, how does the peak wavelength $\lambda_m$ of maximum radiation emission vary with absolute temperature $T$?
(A)
$\lambda_m \propto T$
(B)
$\lambda_m \propto T^2$
(C)
$\lambda_m \propto \frac{1}{T}$
(D)
$\lambda_m \propto \frac{1}{T^2}$
Q15
If a black body emits peak radiation at wavelength $\lambda_m = 1.0\, \mum$ ($1.0 \times 10^{-6}m$) at temperature 2900 K, calculate the value of Wien's constant $b$.
If a black body emits peak radiation at wavelength $\lambda_m = 1.0\, \mum$ ($1.0 \times 10^{-6}m$) at temperature 2900 K, calculate the value of Wien's constant $b$.
(A)
$2.9 \times 10^{-3}\text{ m K}$
(B)
$2.9 \times 10^{-6}\text{ m K}$
(C)
$2.9 \times 10^{3}\text{ m K}$
(D)
$5.8 \times 10^{-3}\text{ m K}$
Q16
If the absolute temperature of a black body is doubled, by what factor does its total emissive power increase according to Stefan-Boltzmann Law?
If the absolute temperature of a black body is doubled, by what factor does its total emissive power increase according to Stefan-Boltzmann Law?
(A)
2 times
(B)
4 times
(C)
8 times
(D)
16 times
Q17
The fundamental principle of calorimetry ("Heat lost = Heat gained") is a direct expression of which conservation law?
The fundamental principle of calorimetry ("Heat lost = Heat gained") is a direct expression of which conservation law?
(A)
Conservation of Mass
(B)
Conservation of Energy
(C)
Conservation of Linear Momentum
(D)
Conservation of Charge
Q18
What is the standard value of the triple point of water on the Kelvin scale?
What is the standard value of the triple point of water on the Kelvin scale?
(A)
273.15 K
(B)
273.16 K
(C)
373.15 K
(D)
0.00 K
Q19
Which mode of heat transfer can take place through a vacuum without requiring any physical material medium?
Which mode of heat transfer can take place through a vacuum without requiring any physical material medium?
(A)
Conduction
(B)
Convection
(C)
Radiation
(D)
Advection
Q20
A steel rod of Young's modulus $Y = 2.0 \times 10^{11}\text{ N m}^{-2}$ and linear expansion coefficient $\alpha = 1.2 \times 10^{-5}\text{ K}^{-1}$ is fixed between two rigid supports. If its temperature is raised by $10^\circ\text{C}$, what thermal stress is induced in the rod?
A steel rod of Young's modulus $Y = 2.0 \times 10^{11}\text{ N m}^{-2}$ and linear expansion coefficient $\alpha = 1.2 \times 10^{-5}\text{ K}^{-1}$ is fixed between two rigid supports. If its temperature is raised by $10^\circ\text{C}$, what thermal stress is induced in the rod?
(A)
$2.4 \times 10^7\text{ N m}^{-2}$
(B)
$1.2 \times 10^7\text{ N m}^{-2}$
(C)
$4.8 \times 10^7\text{ N m}^{-2}$
(D)
$2.4 \times 10^6\text{ N m}^{-2}$

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