Which of the following circular rods, (given radius and length ) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?
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We know that
Also thermal resistance,
Heat. flow will be maximum when thermal resistance is minimum. From given option
(i)
(ii)
(iii)
(iv)
If two rods and of equal length , and different areas of cross-section and have one end each at temperature and , have equal rates of flow of heat, then
Six identical conducting rods are joined as shown in figure. Points and are maintained at and respectively. The temperature of junction will be
Temperature difference between the end points and
As the resistances for the three parts are equal, the temperature difference must be distribuited equally in the three parts
Temperature of .
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity and and thickness and , respectively, are and . The rate of heat transfer through the slab, in a steady state is , with equal to
1
The thermal resistance is given by
Two spheres of different materials one with triple the radius and one-fifth wall thickness of the other are filled with ice. If the time taken for complete melting of ice in the larger sphere is 30 minute and for smaller one is 20 minute, the ratio of thermal conductivities of the materials of larger spheres to that of smaller sphere is
Let and be the thermal conductivities of larger and smaller sphere.
For bigger sphere,
For smaller sphere,
Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities , and . When points and are maintained at different temperatures, no heat flows through the central rod if
and
Two metallic blocks and of same area of crosssection are connected to each other (as shown in figure). If the thermal conductivity of is then the thermal conductivity of will be : [Assume steady state heat conduction]
As constant in series So,
.
The two ends of a metal rod are maintained at temperatures and . The rate of heat flow in the rod is found to be . If the ends are maintained at temperatures and , the rate of heat flow will be
As the temperature difference as well as the thermal resistance is same for both the cases, so thermal current or rate of heat flow will also be same for both the cases.
One end of a thermally insulated rod is kept at a temperature and the other at . The rod is composed of two sections of length and and thermal conductivities and respectively. The temperature at the interface of the two section is
Four identical rods of same material are joined end to end to form a square. If the temperature difference between the ends of a diagonal is , then the temperture difference between the ends of other diagonal will be
Suppose temperature difference between and is and
Heat current will flow from to via path and . Since all the rod are identical, so,
(Because heat current ; here same for all)
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