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Which of the law can be understood in terms of Stefan's law?

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Important Questions on Heat Transfer

MEDIUM
JEE Main/Advance
IMPORTANT
A hot liquid is kept in a big room. According to Newton's law of cooling rate of cooling of liquid (represented as y) is plotted against its temperature T. Which of the following curves may represent the plot? 
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JEE Main/Advance
IMPORTANT

Two identical square rods of metal are welded end to end as shown in figure (a). Assume that 10 cal of heat flows through the rods in 2 min. Now the rods are welded as shown in the figure, (b). The time it would take for 10 cal to flow through the rods now, is

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HARD
JEE Main/Advance
IMPORTANT

Three metal rods made of copper, aluminium and brass, each 20 cm long and 4 cm in diameter, are placed end to end with aluminium between the other two. The free ends of copper and brass are maintained at 100 and 0°C respectively. Assume that the thermal conductivity of copper is twice that of aluminium and four times that of brass. The approximate equilibrium temperatures of the copper aluminium and aluminium-brass junctions are respectively-

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MEDIUM
JEE Main/Advance
IMPORTANT

A closed cubical box is made of a perfectly insulating material walls of thickness 8 cm and the only way for heat to enter or leave the box is through two solid metallic cylindrical plugs, each of cross-sectional area 12 cm2 and length 8 cm, fixed in the opposite walls of the box. The outer surface A on one plug is maintained at 100°C while the outer surface B of the other plug is maintained at 4°C. The thermal conductivity of the material of each plug is 0.5 cal °C-1 cm-1. A source of energy generating 36 cal s-1 is enclosed inside the box. Assuming the temperature to be the same at all points on the inner surface, the equilibrium temperature of the inner surface of the box is

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HARD
JEE Main/Advance
IMPORTANT
Two models of a windowpane are made. In one model, two identical glass panes of thickness 3 mm are separated with an air gap of 3 mm. This composite system is fixed in the window of a room. The other model consists of a single glass pane of thickness 6 mm, the temperature difference being the same as for the first model. The ratio of the heat flow for the double-pane to that for the single pane is (Kglass=2.5 × 104  cal s.m.-1 °C-1 and Kair = 6.2 × 106  cal s.m.-1°C-1) 
EASY
JEE Main/Advance
IMPORTANT
Heat is flowing through two cylindrical rods made of the same materials whose ends are maintained at similar temperatures. If diameters of the rods are in ratio 1 : 2 and lengths in ratio 2 : 1, then the ratio of thermal current through them in steady-state is : 
MEDIUM
JEE Main/Advance
IMPORTANT
The ends of a metre stick are maintained at 100ºC and 0ºC. One end of a rod is maintained at 25ºC. Where should its other end be touched on the metre stick so that there is no heat current in the rod in steady-state?
MEDIUM
JEE Main/Advance
IMPORTANT
A spherical solid black body of radius r radiates power H and its rate of cooling is C. If the density is constant then which of the following is/are true.