Self Studies

Thermal Propert...

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  • Question 1
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    Two rods A and B of same length and radius are joined together. the thermal conductivity of A and B are $$2K$$ and $$K$$. Under steady state conditions, if the temperature difference between the open ends of A and B is $$36^{\circ}C$$, the temperature difference across 'A' is:

  • Question 2
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    If the temperature of a hot body is increased by 50% then the increase in the quantity of emitted heat radiation will be

  • Question 3
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    A copper block A of mass 500 gm and $$S_p$$ heat 0.1 cal/gm/$$ ^ { \circ } C$$ is heated from $$30 ^ { \circ } C \text { to } 40 ^ { \circ } C$$. Another identical copper block B of same mass is heated from $$35 ^ { \circ } C \text { to } 40 ^ { \circ } C$$. The ratio of their thermal capacities is: 

  • Question 4
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    Two identical square rods of metal are welded end to end as shown in figure (a). $$20$$ calories of heat flows through it in $$4$$ minutes. if the rods are welded as shown in figure (b), the same amount of heat will flow through the rods in

  • Question 5
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    In a container of negligible heat capacity $$100 gm$$ of a liquid at $$20 ^ { \circ } \mathrm { C }$$ is heated. Specific heat of the liquid varies with temperature given as $$s = ( 100 T + 500 ) J / k g ^ { \circ } C$$ where $$T$$ is in$$^{ \circ  }C$$ . Find the amount of heat required to raise the temperature of the liquid to $$40 ^ { \circ } \mathrm { C }$$

  • Question 6
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    A copper bar $$10\ cm$$ long has its ends passed against copper tanks at $$0^{o}C$$ and $$100^{o}C$$. The ends are separated by layers of dust $$0.1\ mm$$ thick. If conductivity of dust is $$0.001$$ times that of copper, the temperature of end $$P$$ and $$Q$$ of bar are [Take rate of flow of heat constant from $$P$$ to $$Q$$]

  • Question 7
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    The pressure of the gas contained in a closed vessel is increased by $$0.4\%$$ when heated by $$1^oC$$. The initial temperature of the gas must be

  • Question 8
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    One end of a thermally insulated rod is kept at a temperature $$T_1$$ and the other at $$T_2$$. The rod is composed of two sections of lengths $$L_1$$ and $$L_2$$ and thermal conductivities $$k_1$$ and $$k_2 $$ respectively. The temperature at the interface of the sections is 

  • Question 9
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    Directions For Questions

    A nursing home is interested in studying the temperature in $$_{  }^{ o }{ F }$$ when a patient is administered a medicine. The equation $$y={-8x}^{2}+64x-120,x>0$$ gives the relationship between y: the excess of temperature above the normal body temperature $$98.4_{  }^{ o }{ F }$$ measured in $$_{  }^{ o }{ F }$$ and x: the times in hours.

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    When is the temperature at its peak? what is its value then?

  • Question 10
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    A crystal has a coefficient of expansion $$1.3\times 10^{-8}$$ in one direction and $$2.31\times 10^{-7}$$ in every direction at right angles to it. Then the cubical coefficient of expansion is :

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