Two identical metal balls one at `T_(1)=300K` and the other `T_(2)=600K` are kept at a distance of 1m in vacuum. Will the temperatures equalize by radiation? Will the rate of heat gained by the colder sphere be proportional to `T_(2)^(4)-T_(1)^(4)` as may be expected from the Stefan's law ?

A solid at temperature T_(1) is kept in an evacuated chamber at temperature T_(2)gtT_(1) . The rate of increase of temperature of the body is propertional to

A hollow tube has a length l, inner radius R_(1) and outer radius R_(2) . The material has a thermal conductivity K. Find the heat flowing through the walls of the tube if (a) the flat ends are maintained at temperature T_(1) and T_(2) (T_(2)gtT_(1)) (b) the inside of the tube is maintained at temperature T_(1) and the outside is maintained at T_(2) .

Two perfect gases at temperatures T_1 and T_2 are mixed. There is no loss of energy. Find the temperature of mixture if messes of molecules are m and m and the number of molecules in the gases are n_1 and n_2 respectively.

Equal masses of air are sealed in two vessels, one if volume V_(0) and the other of volume 2V_(0) .If the first vessel is maintained at a temperature 300K and the other at 600K, find the ratio of the pressures in the two vessels.

I-V graph for a metallic wire at two different temperatures T1 & T2 as shown in figure. Which of the two temperature is lower. Why ?

Football teams T_(1) and T_(2) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T_(1) winning,drawing and losing a game against T_(2) are (1)/(2),(1)/(6) and (1)/(3) , respectively. Each teams gets 3 points for a win, 1 point of a drawn and 0 point for a loss in a games. P(X=Y) is