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A liquid \(P\) of mass \(M\) and specific heat capacity \(S\) is at temperature \(2T.\) If another liquid \(Q\) of specific heat capacity \(1.5\) times liquid \(P\) at a temperature of \(\dfrac{T}{3}\) is added to it, the resultant temperature will be:
1. \(\dfrac{4T}{5}\) 2. \(T\)
3. \(\dfrac{T}{2}\) 4. \(\dfrac{5T}{4}\)

Subtopic:  Calorimetry |
 77%
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A radiation blackbody has the shape of a sphere of radius \(r.\) Its surface is at a temperature \(T\) (in Kelvin). If the temperature is doubled and the radius is halved, the total rate of radiation emitted from the body:
1. increases by a factor of \(4\)
2. increases by a factor of \(2\)
3. remains unchanged
4. decreases by a factor of \(2\) 
Subtopic:  Stefan-Boltzmann Law |
 82%
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Given below are two statements: 
Assertion (A): In a pressure cooker the water is brought to a boil. The cooker is then removed from the stove. Now on removing the lid of the pressure cooker, the water starts boiling again.
Reason (R): The impurities in water bring down its boiling point.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Calorimetry |
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The presence of a gravitational field is required for the heat transfer by:
1. radiation
2. conduction
3. stirring of liquids
4. natural convection
Subtopic:  Convection |
 77%
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Three rods made of the same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at \(0^\circ \text{C}\) and \(90^\circ \text{C}\) respectively. The temperature of the junction of the three rods will be:
1. \(45^\circ \text{C}\) 2. \(60^\circ \text{C}\)
3. \(30^\circ \text{C}\) 4. \(20^\circ \text{C}\)
Subtopic:  Conduction |
 87%
From NCERT
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Select the correct option based on the statements given below:
Statement I:  A solid and hollow sphere of the same diameter and same material, when heated through the same temperature, will expand by the same amount.
Statement II: The change in volume is independent of the original mass but depends on the original volume.
 
1. Statement I is correct and Statement II is incorrect.
2. Statement I is incorrect and Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Thermal Expansion |
 70%
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Which of the following law states that \(\lambda_{m}\) is inversely proportional to absolute temperature?
(where \(\lambda_{m}\) is the wavelength at which maximum energy is emitted)
1. Stefan’s law
2. Rayleigh-Jeans law
3. Maxwell-Boltzmann law
4. Wien’s displacement law
Subtopic:  Wien's Displacement Law |
 86%
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Three rods of identical dimensions but made of materials of conductivities \(K,~2K,~K\) are connected in series. The two ends \(A~,B\) are maintained at temperatures of \(0^{\circ} \text{C},~100^{\circ} \text{C}\) respectively. Assume no loss of heat from the sides. The temperatures of the junctions \(X,~Y\) are:
                  
1. \(25^\circ\text C,~75^\circ\text C\)
2. \(40^\circ\text C,~60^\circ\text C\)
3. \(20^\circ\text C,~80^\circ\text C\)
4. \(30^\circ\text C,~70^\circ\text C\)
Subtopic:  Conduction |
 69%
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A beaker contains \(1000\) g of a liquid that is stirred at its boiling point. A \(100\) W electric heater is completely immersed in the liquid. The heater provides the liquid with thermal energy, and \(200\) g of the liquid changes to vapour in \(1600\) s.
What is the specific latent heat of evaporation of the liquid?
(Assume that no thermal energy is transferred to or from the surroundings, and no vapour condenses.)
1. \(12.5\) J/g
2. \(160\) J/g
3. \(3200\) J/g
4. \(800\) J/g
Subtopic:  Calorimetry |
 79%
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Two rods \(A\) and \(B\) having the same length of \(1\) m are at the same temperature \(30^\circ \text{C}.\) The coefficients of linear expansion of \(A\) and \(B\) are in the ratio \(4:3.\) At what temperature will the length of \(B\) be the same as the length of rod \(A\) at \(180^\circ \text{C}\)?
1. \(200^\circ \text{C}\) 2. \(230^\circ \text{C}\)
3. \(250^\circ \text{C}\) 4. \(270^\circ \text{C}\)
Subtopic:  Thermal Expansion |
 79%
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