11.21:
Explain why:

(a) a body with large reflectivity is a poor emitter

(b) a brass tumbler feels much colder than a wooden tray on a chilly day

(c) an optical pyrometer (for measuring high temperatures) calibrated for an ideal black body radiation gives too low a value for the temperature of a red hot iron piece in the open, but gives a correct value for the temperature when the same piece is in the furnace

(d) the earth without its atmosphere would be inhospitably cold

(e) heating systems based on circulation of steam are more efficient in warming a building than those based on circulation of hot water

(a) A body with a large reflectivity absorbs less amount of light radiations and a poor absorber is a poor emitter of radiations. Hence, a body with a large reflectivity is a poor emitter.

(b) Brass is a good conductor of heat while the wood is a bad conductor of heat. When one touches a brass tumbler, heat is conducted from the body to the brass tumbler easier than it is conducted to the wooden tray. Hence, the temperature of the body reduces to a lower value than the value when one touches the wooden tray. Thus, a brass tumbler feels colder than a wooden tray on a chilly day.

(c)

Black body radiation equation is given by:

E=σ(T4-T04)

Where,

E = Energy radiation

T = Temperature of the optical pyrometer

T0 = Temperature of open space

σ = Constant

Hence, an increase in the temperature of open space reduces the radiation energy.

When the same piece of iron is placed in a furnace, the radiation energy, E = σ T4

In this case, the radiation energy is equal to the actual heat radiated by the red hot iron and the instrument gives the correct value of its temperature.

(d) In the absence of atmospheric gases, no extra heat will be trapped. All the heat would be radiated back from the earth’s surface.

(e) The steam contains more heat in the form of latent heat (540 cal/g) than the water. So, a heating system based on the circulation of steam is more efficient in warming a building than that based on the circulation of hot water.