\(150\) g of ice at \(0^\circ \mathrm{C}\) is mixed with \(100\) g of water at a temperature of \(80^\circ \mathrm{C}.\) The latent heat of ice is \(80\) cal/g and the specific heat of water is \(1\) cal/g°C. Assuming no heat loss to the environment, the amount of ice that does not melt is:

1. \(100\) g 2. \(0\)
3. \(150\) g 4. \(50\) g

Subtopic:  Calorimetry |
 68%
From NCERT
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Hot coffee in a mug cools from \(90^{\circ}\mathrm{C}\) to \(70^{\circ}\mathrm{C}\) in 4.8 minutes. The room temperature is \(20^{\circ}\mathrm{C}\). Applying Newton's law of cooling, the time needed to cool it further by \(10^{\circ}\mathrm{C}\) should be nearly:

1. 4.2 minute 2. 3.8 minute
3. 3.2 minute 4. 2.4 minute
Subtopic:  Newton's Law of Cooling |
 69%
From NCERT
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One kilogram of ice at \(0^\circ \mathrm{C}\) is mixed with one kilogram of water at \(80^\circ \mathrm{C}.\) The final temperature of the mixture will be: (Take: Specific heat of water = \(4200\) J kg-1 K-1, latent heat of ice\(=336\) kJ kg-1)
1. \(0^\circ \mathrm{C}\)
2. \(50^\circ \mathrm{C}\)
3. \(40^\circ \mathrm{C}\)
4. \(60^\circ \mathrm{C}\)

Subtopic:  Calorimetry |
 73%
From NCERT
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Two identical bodies are made of a material whose heat capacity increases with temperature. One of these is at \(100^{\circ} \mathrm{C}\), while the other one is at \(0^{\circ} \mathrm{C}\). If the two bodies are brought into contact, then assuming no heat loss, the final common temperature will be:

1. \(50^{\circ} \mathrm{C}\)
2.  more than \(50^{\circ} \mathrm{C}\) 
3. less than \(50^{\circ} \mathrm{C}\) but greater than \(0^{\circ} \mathrm{C}\) 
4. \(0^{\circ} \mathrm{C}\)

Subtopic:  Calorimetry |
 64%
From NCERT
NEET - 2016
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The value of the coefficient of volume expansion of glycerin is \(5\times10^{-4}\) K-1. The fractional change in the density of glycerin for a temperature increase of \(40^\circ \mathrm{C}\) will be:

1. \(0.015\) 2. \(0.020\)
3. \(0.025\) 4. \(0.010\)
Subtopic:  Thermal Expansion |
 81%
From NCERT
NEET - 2015
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Steam at \(100^{\circ}\mathrm{C}\) is injected into 20 g of \(10^{\circ}\mathrm{C}\) water. When water acquires a temperature of \(80^{\circ}\mathrm{C}\), the mass of water present will be: (Take specific heat of water =1 cal g-1 \(^\circ\)C-1 and latent heat of steam = 540 cal g-1)
1. 24 g                       
2. 31.5g
3. 42.5 g                   
4. 22.5 g

Subtopic:  Calorimetry |
 71%
From NCERT
NEET - 2014
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The temperature of a body falls from \(50^{\circ}\mathrm{C}\) to \(40^{\circ}\mathrm{C}\) in 10 minutes. If the temperature of the surroundings is \(20^{\circ}\mathrm{C}\), then the temperature of the body after another 10 minutes will be:
1. \(36.6^{\circ}\mathrm{C}\)          
2. \(33.3^{\circ}\mathrm{C}\)
3. \(35^{\circ}\mathrm{C}\)             
4. \(30^{\circ}\mathrm{C}\)

Subtopic:  Newton's Law of Cooling |
 79%
From NCERT
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Two rods (one semi-circular and the other straight) of the same material and of the same cross-sectional area are joined as shown in the figure. Points A and B are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of a straight rod at any given point in time will be:
     
1. 2: π 

2. 1: 2

3. π: 2

4. 3: 2

Subtopic:  Conduction |
 66%
From NCERT
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A wall is made up of two layers, A and B. The thickness of the two layers is the same, but the materials are different. The thermal conductivity of A is double that of B. If in thermal equilibrium, the temperature difference between the two ends is \(36^{\circ}\mathrm{C}\), then the difference in temperature between the two surfaces of A will be:
1. \(6^{\circ}\mathrm{C}\)

2. \(12^{\circ}\mathrm{C}\)

3. \(18^{\circ}\mathrm{C}\)

4. \(24^{\circ}\mathrm{C}\)

Subtopic:  Conduction |
 59%
From NCERT
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The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively are T2 and T1 (T2 > T1). The rate of heat transfer through the slab, in a steady state is AT2-T1Kxf, with f which equals to:

     

1. 1

2. 12

3. 23

4. 13

Subtopic:  Conduction |
 54%
From NCERT
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