A wall is made up of two layers A and B. The thickness of the two layers is the same, but materials are different. The thermal conductivity of A is double than that of B. In thermal equilibrium the temperature difference between the two ends is 36. Then the difference of temperature at the two surfaces of A will be
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Ice starts forming in lake with water at 0 and when the atmospheric temperature is -10. If the time taken for 1 cm of ice be 7 hours, then the time taken for the thickness of ice to change from 1 cm to 2 cm is
(d)
A cylinder of radius R made of a material of thermal conductivity is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity . The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is
A room is maintained at 20 by a heater of resistance 20 ohm connected to 200 volt mains. The temperature is uniform through out the room and heat is transmitted through a glass window of area and thickness 0.2 cm. What will be the temperature outside? Given that thermal conductivity K for glass is 0.2 cal/m and J = 4.2 J/cal
(a) Heat developed by the heater
Heat conducted by the glass
There is formation of layer of snow x cm thick on water, when the temperature of air is (less than freezing point). The thickness of layer increases from x to y in the time t, then the value of t is given by
(a)
Three rods of identical area of cross-section and made from the same metal form the sides of an isosceles triangle ABC , right angled at B. The points A and B are maintained at temperatures T and respectively. In the steady state the temperature of the point C is . Assuming that only heat conduction takes place, is equal to -
A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of 1000°C. Which one of these will cool first ?
(a) Rate of cooling . Since area of plate is largest so it will cool fastest.
Two identical conducting rods are first connected independently to two vessels, one containing water at 100 and the other containing ice at 0. In the second case, the rods are joined end to end and connected to the same vessels. Let and g / s be the rate of melting of ice in two cases respectively. The ratio of is /
A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature 120, then -
(b) Rate of cooling of a body
For the same surface area.
Volume of cube < Volume of sphere
i.e. cube cools down with faster rate.
Two bodies A and B have thermal emissivities of 0.01 and 0.81 respectively. The outer surface areas of the two bodies are the same. The two bodies emit total radiant power at the same rate. The wavelength corresponding to maximum spectral radiancy in the radiation from B is shifted from the wavelength corresponding to maximum spectral radiancy in the radiation from A, by 1.00 . If the temperature of A is 5802 K -
(b) According to Stefan’s law
And, from Wein's law
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