Rate OF heat loss || stefan's law

The circuit below is used to heat water kept in a bucket. Assuming heat loss by Newton's law of cooling, the variationin the temperature of the water in the bucket as a function of time is depicted by:

Rate Of Loss Heat

Wien's displacement law||Stefan's law OF radiation||Rate OF cooling by radiation||Examples on radiation

State and explain Stefan's law.

State and explain Stefan's law of radiation.

Statement-1 : When temperature of a black body is doubled, energy radiated/sec/area becomes 16 times. Statement-2 : This is per Stefan's law.

The thermal capacities of two bodies A and B are in the ratio 1:4. if the rate of heat loss are equal for these two bodies then the rate of fall of the temperature will be in the ratio

For a small temperature difference between the body and the surroundings, the relation between the rate of heat loss R and the temperature of the body is depicted by

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 equalise by radiation? Will the rate of heat gained bby th ecolder sphere be proportional to T_(2)^(4)-T_(1)^(4) as may be expected from the Stefan's law ?